Agree with that approach for a bolt gun.
The way the 10-22 is put together with the V block, this way seems best. I do pillar and float bolt guns, but those barrels are screwed tightly into the receiver.
Some custom makers do the 10-22 that way, but with the factory V block set up, I don't think bedding the action and floating the barrel will work as well as this set up.
I've heard about the Kidd with a rear action screw, haven't seen it, even looking at their web site. With front and rear action screws maybe bedding it like a bolt gun would work OK.
DF
My M77/22 is the same slip fit setup as the 10/22.
one other option if the barrel fit is a tad loose to the action is to loct-tight it into the action. or use the aftermarket V-Block with the barrel tension screw.