I have done it! Well, the breaking part at least.
I had a neck strap mishap a month or two ago, and my K20D also now has a broken plastic bottom plate, bent and cracked in one corner in particular. But like yours, all else seems fine, so I have been reluctant to send it off for repair until I have a few weeks to spare. (That will probably be in August.)
But I did detach that bottom plate to have a look around. Here's what I learned, which might be useful to you:
There are two different kinds of screws in the bottom plate. They are all tiny, but of two slightly different threads and lengths. When you take them out, make careful notes of where each one came from, so you can put them back in the correct locations.
In my case, and possibly yours too, the bottom plate turned out to be not the only broken piece. The screws in the bottom plate -- some of them anchor into metal, and some into other plastic pieces (that is what explains the different screw types). In any case, a screw-receiving pillar on another plastic piece in my camera also sheared off from the impact, and this particular plastic piece doesn't look easy to get to without disassembling a bunch of other components, which I will not do.
So off to service it will go. The broken screw-receiver and resultant loss of anchoring at a portion of the bottom plate might cause a slight loss of water resistance (there is a gasket around the whole bottom piece), so I don't want to leave it like this indefinitely. But there are plenty of other screws, so the change is probably minimal.