I also have an Omega. I use the Weaver-style Maxima base and quick detach rings (can't remember who makes them for T/C). For regular gun season around here, I use a Bushnell Elite 3200, 3-9 x 40, with Firlefly reticle (love that thing come sunrise and sundown) and fixed objective. The 4200 has an adjustable objective, but I didn't feel I needed that -- I'm not sniping varmints out at 400 yards.
For muzzleloading season, I switch to a Millet Redot with 1-inch tube, so I can use quick detach 1-inch rings. (Don't get me started about how utterly stupid my State is to not allow powered optics for muzzleloader season!)
The Maxima quick detach rings are guaranteed to keep zero, and I haven't had a problem with them wandering. Although I would not have bought them if Wisconsin didn't force me to switch optics, they really come in handy at clean up time.
The 3200 can be a little pricey, but if you shop around you should be able to find it under $200. The optics on the Elites are exceptional. Very clear picture and good field of view. They have a great anti-fog coating and the fast-focus really works, at least for me.