Shouldn't be any neck issues, it's not as if you are going up to 12s
Are you going back to the same 10s as you previously used, as ig you go lighter / heaver on the other strings the trem will still have tuning issues.
When I switched ftom the Peavey EVH strings to another brand (both sets where marked as 9s) the I had no end of fun with the FR bridge, and it wasn't even floating :(
I have to say that I would never buy a trem equipped guitar again, it was just too much bother. I'm even going to block off the trem on the strat.
Rob...