I usually wash my hands once before a league/tournament begins and make sure that I use cold water at the end to close the pores in my hands.
After that I use The Powder Pro to lightly dust chalk on the inside of my bridge hand (and then rub my hands together to dispurse the chalk) before each game:
http://www.muellers.com/The-Powder-Pro,1553.html
I fill the above with pure talc (not baby powder that has lanolin, etc. added):
http://www.muellers.com/Talc-Shake-Can,768.html
It's been several years and I'm about halfway through the can of talc. I fill the powder pro before each league/tournament and use it discreetly. If someplace/someone is a hand powder Nazi, no problem since they have no clue that I'm using talc (and if they do I just put the powder pro in my pocket and go to the bathroom, etc. and they really have no clue). Little to no talc gets on the table (certainly less than the chalk that poofs off of cue tips).
If conditions are really bad or I've chomped some greasy food, I'll wash my hands again. Then, a slight application of talc after my hands are dry and all is good.