For something like you're wanting to do, I would recommend a Simmons 44MAG 7-21x44SF(I believe this is the powers). The Glass used compares to the Aeztec Scopes (Aspherical) for clarity.
I have a Simmons 44MAG in 4-12 on a 22Mag and it's a great Scope for the cost w/SF.
I can recommend others, but don't know if available with Side Focus. BSA Contender or Platinum in 6-24x(?), Mueller APT in 6-24x(?).
All others I can think of is more around the $300+ costs.