Hi, got a quick question I was hoping somebody could help me with

ive got a Bvss-s I think, in a model 112 223rem
the gun is a single shot, with a long action, 5.065 spacing.
im wanting to replace the stock, and A couple I’ve found ask if it’s center feed or staggered. I’m assuming that don’t matter, since it’s single shot? Is that right?
Also, question on barrel channel. I’m not sure what to get, as far as, Varmint, heavy barrel, etc.
my barrel looks to be .805 at muzzle, and just a tad over 1” at barrel nut. Reckon what Barrel contour I would ask for on stock?
thanks