Re: not the usual bedding?????
Evenly wrap the barrel with about eight layers of masking tape, or three layers of duct tape, apply release agent liberally, then lay up layers of fiberglass cloth and resin until in contact with the taped barrel.
Remove tape.....
Wrap the barrel again with only two layers of masking tape, apply release agent, and then "Bed" the remaining barrel channel with Devcon Steel.
The excess barrel channel will be structurally filled in, the Devcon will top it off nicely, and the two layers of masking tape will give you a free float.
Good time also to bed the action, texture the stock, and do a paint job.......