Maybe it's me, but for that Model 39 I'd want a scope with a small profile. Something like a Leupold
or Weaver rimfire 4x28. Both are light, slender and short - 9 or 10 inches.
Many of the rimfire scopes offered by most manufacturers are built like CF scopes - larger and heavier. They don't belong on a rimfire because they're too big and the rifle can be awkward to handle.
This is a Weaver 4x28mm on a Henry pump. It suits the rifle. The scope is not mounted too high, out of alignment with the shooter's eye. This rifle would benefit from a pad on the rear stock to bring it up another 1/2 inch, but it's not nearly as bad as some rifles with scopes positioned 1 inch or more above the action.
Proper scope alignment means quicker target acquisition and better shoulder mounting.
A Weaver 4x28 RF is about $120. The Leupold
RF 4x28 is about $220. You can also get a 2-7 RF from either of these companies.
My two cents.