If you want to stay with a scope in the 3-12 power range then consider a Weaver 40/44 model 3.8-12x44. This particular 40/44 has an aspherical lens design.....darn good optics for clarity and etc. and its made in the Philippines. Presently, Natchez Shooters Supply has reduced price on this model to $140 (plus around $14 shipping/insurance). Checked some other internet sellers of this scope and found it selling for over $200.
I've no problem with buying a BSA scope for my centerfire rifles. Matter of fact, most of my last 7 or so scope purchases have been a BSA. My BSA's cost around $110 to $190. Suggest you consider one of the BSA Majestic DX Hunter scopes. This particular model was introduced late 2010 (one of their so called C.E.O warranty scopes) and replaced an earlier Majestic scope model. So be sure it has DX or Hunter in the name. Decent optics in it and priced from about $110 to $150, depending on its power. Have a couple of these in 6-24x44 and they've performed quite well for me.
For me, I've no complaint about the eye relief in my Weaver 40/44 and BSA Majestic DX scopes.