The first thing i would try is the 200g shockwave. My only concern is the furnished sabot, may be too tight for an Omega. I have never tried them in my Omega(s).

Another bullet one can try is the 200g SST. They seem to be only sold with sabot to fit a 45 caliber rifle. What i did was purchase the 200g SST, and then purchase blue crush rib sabot for 50 caliber rifle, and 40 caliber bullet. They work good in my Triumph, which seems to have near the same barrel size as my Omega(s).

These bullet fly flat enough to hit a coyote with a center of chest hold out to about 175 yard with a 150 yard zero, when pushed by 115 to 120g or so, of BH209.