Do you have one of those grippy, floppy circles designed to help take the lids off jars? If so, that will work wonders -- it will allow you to get a "grip" on the flat bottom of the bulb without having to get your fingers around the edges. If you don't have one of those circles, a piece of rubber carpet pad or shelf liner might do the trick, as well.

We installed a track light in our rental property last weekend and it came with a little "suction cup" looking device. I couldn't figure out what it was for until I tried to put the bulb (some sort of halogen) in the fixture. It was as you described, no room to hold the bulb and twist it in. I think what jakabedy described should work well, too. Maybe the home improvement stores sell these suction cup devices? I'm sure the tenant will loose the one I left with them.