Well, don't turn them on the way up. Just keep the wrist straight.
Also, if you do have troubs with pushups right now, the smith machine would be great. The higher the bar, the less weight, the easier the push up. So, if you have trouble completing something like 8-10 in one set, raise the bar. That is where I would start. Keep the wrist issue from being an issue, and get an actual good form 'shup in and in a quantity that will actually help you build towards doing them on the floor.