I’ve got a 68060 RC (MMU, no FPU) in my Amiga 1200 and it seems to work alright. The full 68060 is insanely expensive these days though, you could get a decent Ryzen for a lot less money.
That would be a 68LC060. And the 68EC060 was no MMU, no FPU. The RC just means it's a ceramic PGA package, so an MC68LC060RC50 would be a 68060 with MMU, without FPU, in a ceramic PGA206 package binned to run at 50MHz. If you have a 68060RCxx chip that doesn't have a (functioning) FPU, it's probably a relabled 'fake' LC, which is actually pretty common.
And, yeah, they're unfortunately crazy expensive, esp if you get stuck with one of those fakes.
In your specific case too, I believe there are options for soft emulation of the FPU if you needed support for one in a pinch. I can’t say how the performance is, but I’d imagine it would be insanely slow.