Question,
I must start by confessing that I know far less about Panama than I do about CR, having only been to Bocas del Toros (which is not exactly a good candidate area for multi-day treks, unless you're willing to swim or boat from island to island, it being an archipelago). However I do know of a few possible multi-day treks you could do elsewhere in Panama.
Western Panama: This 1st one is 3-day trek known as "El Camino de Tres Noviembre". You can read one detailed (albeit at least 15 year old) description by one person who made this trek at
http://retina.anatomy.upenn.edu/pdfiles/Backpacking.pdf. BTW, for you or anyone else seriously interested in hiking opportunities anywhere in Central America, I strongly recommend the original book that this article was reprinted from (
Backpacking in Central America by Tim Burford). I should warn you though that it goes into incredible detail on each hike that makes my writing seem like a tweek. Any way, this trek starts near Boquete, crosses the Cordillera Central and ends up in Chiriqui Grande on the Caribbean side.
This might be an easier alternative to the trans-isthmus trek we were talking about in CR since it starts at a pretty high altitude and takes only 3 days as opposed to the full week or more that the CR version takes. Another nice thing about it is that, unless you were planning on going to Panama City in Central Panama any way, it can be done as part of a much shorter "Panama Loop", which could include travel to Panama by the Pacific route (with perhaps a stop for an additional trek in Corcovado along the way), a visit to Boquete (a pleasant town in the mountains highly popular destination for gringo expats that is a half hour north of David), where you might also want to do a day hike up Volcan Baru, then after the trek you could visit Bocas del Toros before also stopping in the Puerto Viejo area on your way back to San Jose.
The other "major" "Western Panama" hike that you could do is practically all the way to Panama City (near the town of Chame about 50 miles before the capital, so is more one you might do en route to there. It runs between El Valle and Altos de Campana and is a 2 day hike.
Central Panama: There are a couple of 2 day hikes you could do in Central Panama. The first is the Pipeline Road (about 18km dirt road) through Soberania Nat'l Park (on the east side of the canal between Colon and Gamboa). The other (also a 2 day hike) is the Camino Real through Chagres Nat'l Park from Lago Alajuela in the center of the country to the Atlantic coast (either near Portobelo or Nombre de Dios).
Eastern Panama: The 2 words you need to know here are "Darien Gap". This is the only gap (51 miles wide) in the Panamerican Highay that runs from Prudhoe Bay Alaska all the way to Cape Horn on the southern tip of South America. This is a region that has a notorious and dangerous reputation as a haven for Colombian Guerillas, drug trafickers and other smugglers. The US State Dept. warns U.S. citizens not to travel to remote areas of the Darien Province (see
http://travel.state.gov/travel/cis_pa_tw/cis/cis_994.html for more info). Of course, IMHO, the US State Dept. can often be overly cautious and alarmist about such matters. I've spoken to some Panamanians who have told me the Darien area is really not nearly as dangerous as its international reputation would have it and, in fact, each year a couple of hundred hikers ignore those warnings and use it to cross over between Panama and Colombia with few incidents. OTOH, we as gringos probably stand out more and make more attractive targets for criminals than those Panamanians would who have told me it is really not that dangerous to hike there.
If you do decide to go here, definitely
do not travel alone and even
hire a local guide, stick to the lower elevation river pathways (rather than hilltop areas where cocoa may be being grown) and in general keep as low a profile as possible and, of course, its not like you absolutely have to hike all the way to Colombia and can simply avoid the most dangerous areas closest to the border (another trek you might take in the Darien is a coast to coast one (in the footsteps of Balboa, rather than the country to country one). One old article has said "the biggest danger in making this trip is your effect on the local people" (the remote and isolated Kuna and Choco indian tribes) and that is actually one of the main reasons why the PAH was never completed for this section. One last factor to consider is time of year as, even if one decides to chance trekking in this region, it is generally recommended only to try that during the dry season (roughly Dec.-Mar.), which rules this out for you anyway.
Finally, for those who would never in a million years consider hiking between Panama and Colombia at any time of year, they could always look into taking the recently restored Trans-Darien Monorail to make the crossing http://www.goodtimebob.com/monorail.htm
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I've just started a fresh consulting contract which should run until May or June, but am considering taking a break between gigs for a trip to CR in June for more dental work and might consider extending it to do some hiking. As for your visit to Tampa in February, by interesting places do you mean hiking or something else. If the former, I go hiking regularly around the area and could make several recommendations. If you had something else in mind, I suggest you (or any other CRT'er planning a visit to the Tampa Bay area) just contact me or Lionking when your visit approaches and we'll be even happy to show you around the bay area's adult nightlife scene ourselves.