OP, there are multiple reputable glass vendors on this site, including the poster above, who can help you decide on the right glass.
FWIW, I favor different glass for different things. For action matches like PRS, seeing impacts on steel is all you need. 10 to 15x binos will give you more versatility and greater FOV. I have 10x42 zeiss victory binos (outside your budget spec, so I'm not suggesting them) that I use to chase shooters as I'm quicker than with a spotter tube. My preference in actual spotting scopes is a straight tube as I find it easier to chase a shooter with that vs a bent tube. Your mileage may vary in that one.
If you are shooting paper games you need more magnification as you will need to see the spotter pin in the target, this will require an actual spotting scope not binos. Minimum requirements for top end magnification are around 40x on that, in my opinion.
Always prioritize glass quality of magnification. 60x is worthless if you are looking through haze!