First off, field target is an arms race, it's as much a competition to see who can spend the most as it is who can shoot the best. There are many who don't like that pointed out, but it's the truth, like it or not. THAT is why you see so many using expensive guns, well, that, and the "get what you pay for" concept. Because, honestly, those expensive guns usually do perform really well.
I've shot two cousins to the Sniper XR that you're considering. What I'm calling cousins are the Concept Lite XR which I believe are the same general action, side lever, etc, but in a tubed version vs a bottle on the Sniper XR. The two Concept Lite XRs that I have shot were plenty accurate for field target. I shot one of them in a few matches and was in the top couple of highest scores of all classes. The second gun I had just last week doing trigger work for a buddy. I shot the one last week at 30 yards (nearly all touching) and at 55 yards (roughly 1 inch groups in 12mph winds). Field targets will be dropping with that accuracy.
You might make sure the Sniper XR can be appropriate for the power level limit. "Hunter field target events in Ohio" makes me think less than 20fpe and I seem to remember the Sniper XR being a high power gun? But perhaps it has the power wheel like the Concept Lite XR that can be turned down to be legal.
The big difference you'll see between the Sniper and the other names you mention (Thomas, RAW, Red Wolf, etc) is likely to be in the trigger. But the part the matters (the barrel) will be a Lothar Walther in the Sniper, the Thomas, the RAW, and the Red Wolf.