REI and outdoorsy stores like that sell a lot of quick-dry long-sleeve shirts for "world travel" where you have to wash your shirt in the sink and wear it the next day. I think ExOfficio has lots of shirts like that. How dressy do you need to be? Some are dressy and some of them have goofy pockets on the front.

http://www.sierratradingpost.com/sea...Merch-_-Shirts
http://www.rei.com/product/795003
http://www.exofficio.com/product_res...wersPerPage=40