Ironically, Dogecoin would be the choice of Milton Friedman since he argues for sustained 2-4% supply increase to match GDP growth.  Since there are likely more Bitcoins lost than gold or USD lost per year, due to strong encryption and other variables, the 4% is not that bad of a choice.

http://www.investopedia.com/terms/k/k-percent-rule.asp

I personally would aim for the inflation to only replace the number of lost coins myself, which would probably be something like 1-2%.  This assumes the amount of lost coins is high initially, but decreases a lot once the coins have value.