With all respect, I feel that you are trying to fix a problem that doesn't exist. You are planning to change the bedding on your barrel to a free-float, without even having fired the rifle?
As you know, the Model 7 is primarily a hunting carbine, not a target rifle. Most of them will consistently group 1.5 inches out of the box, and that is more than accurate enough for their purpose.
Once you do a home-made free-float job, you have gone down a road that may lead to nothing but aggravation and expense. That pencil thin barrel, which makes the rifle wonderfully lightweight, wasn't designed to be a an MOA or sub MOA rig.
Regards,
Mannyrock