Hansol,
I have a 500 Jeffery built on an Enfield action and the barrel in mine is as follows - 26" long, 1.3" diameter at the receiver, parallel for 3 inches, then tapering to 1 inch at the 5 inch mark, then tapering to .850" at the muzzle. The stock is a laminated Boyd's and the rifle just has a Redfield receiver sight, no scope, it weighs 10lb 14 ozs as set-up.
It is quite nice to shoot at that weight, but your Wells/A-square will have a bit more grunt than the 500 Jeffery as well.
I wouldn't want a much heavier barrel than what I have, otherwise it may turn out too muzzle heavy, you could always balance that with a bit of lead in the buttstock, but you can also end up with a "Dead Handling" rifle, one that doesn't handle or come up to the shoulder easily.
For hunting purposes go for handling qualities over a bit more weight.

David.