I've become a huge fan of Free Fly Apparel's bamboo range... the comfort is second to none... like wearing an old baby's blanket or that 10 year old t-short you love so much that your wife insists on wearing as pyjamas!!!
It doesn't dry as quickly as the likes of some of the micro fibre ones though, which can be a bonus at times because it acts like a cooling action with a breeze... however, if its dead still this can get sticky.... Most of my fishing is not done in hyper tropical conditions though, so for me they have been the best...
In extreme extreme heat, the BLAF shirts are hard to beat, although I personally find the cut of them a little strange... the arms are too short, but that could be my high "ape man factor".. :-)
SHorts wise, any good board shorts will do the trick, but I do 99% of my fishing now in a pair of Simms Guide Shorts... they comfy, fit well, have belt loops for tools ( leatherman etc if I'm not wearing a popping belt, as I said I use them for ALL my fishing ) and good number of pockets as they are cargo short style.. they are super light weight and dry almost immediately, so cut down on damp crotch scenario!!