A lot of auto parts stores like AutoZone and Advance Auto Parts have free loaner tools available. Drop by and see if you can borrow a 2-jaw gear puller. (Or you could buy one, of course.) Another option, suggested on these forums by FBinNY, is to use
Jacobs chuck removal wedges.
There are a bunch of threads on these forums, particularly the mechanics' forum, about this exact problem. I'm sure you can find even more (sometimes creative) suggestions.