Making a hardtail stratocaster, why shouldn't I use a les paul style bridge?

I'm making a badass guitar for a friend of mine. Basically, she's never going to use a trem, I'm sure of it. What if I want to remove the crappy floyd rose bridge, fill the routed hole with wood and epoxy because it's going to get refinished anyway and slap on a les paul style bridge? I know I can just hard tail the strat with a few springs tightened and a block of wood, it'd be much easier and faster yada yada yada, but what if speed and ease didn't matter? Would a different bridge even work with the neck radius of a strat? There's surprisingly little info to find on this subject, so if anyone has experience with something like this I'd love some feedback. Thanks in advance!