Catch a Tikka T3x on sale, paid $600 for mine in .270. Contact Doug and he’ll hook you up for a great $400 scope. I bought a shot show sample Zeiss 3X12 for $600 so a bit over your budget but you can find a good scope for $400
Always a pleasure to "meet" and assist the members here. Give a call, 516-217-1000, to discuss options