I don't think you can really go wrong with either!
If smokeless is an option for you, the Savage has big edge in non-corrosive propellants + Accu-Trigger and a more completely sealed action, better laminated std. stock, etc., etc. If Pyro / T 7 only, the Omega may be all you want. Personal preference, and a lot depends on how / where you hunt / shoot. And, naturally, what fits you the best.
Neither is a bad choice at all-- personal preference, like so many things, is what really counts.