I would still be better off just giving the beggar the money!

Increasing the payoff of begging just increases the number of beggars until the average wage once again falls to the point where it is just marginally unattractive - or so I've heard. I think someone once suggested that if you visit a poor country and want to help, do not under any circumstances give money to beggars; find someone who seems to be doing something productive, and give the money to them.