As a sporter model, you don't have a barrel band, right? Off to a good start there. I don't see any harm in free floating as long as you don't screw anything up cosmetically.
If you are going to bed it, I'd recommend going ahead and pillaring it while you're at it. It's not much more work and makes for a much more solid and repeatable assembly.
All that said, floating-bedding-pillaring are not the places most would recommend to start for tweaking accuracy out of a 10-22. Most place the order somewhat like:
-trigger work
-bolt work (headspacing for accuracy, pinning firing pin and radiusing rear for reliability)
-barrel (either new or rechamber and recrown the factory stick)
I'm in Greenville too and have a few you could look at if you'd like.
If you haven't been there, rimfirecentral.com is a goldmine of info on 10-22s.