I've got some Leupold binocs, 10x50's, that are quite nice. Outside of your price range by about double, though.
I've got an inexpensive Bushnell set too, though: 10x42's. They lasted about 5 years of heavy use before the housing was breached somehow (either a lens shifted or the rubber/plastic housing warped) and the inert gas leaked out to be replaced by ambient air. Now they get slight condensation in one lens in extreme environments, but they are still serviceable.
I think they cost me about $40 when I bought them, and they may have breached from my own dang fault rather than manufacturer defect.
All I know, is I see just about the same with both sets when the Bushnells aren't fogged up. The Leupolds are nicer for all day glassing, but I could spot antelope on a hill with the Bushnells well enough.
The Leupolds were a splurge, and I certainly appreciate them.
But companies are putting out decent binocs in the sub-$100 range. I would suggest heading to your nearest sporting goods outlet and trying out Bushnells in the sub-$100 range that are smaller than 40mm objective size.
Heck, I've got some Simmons pocket binocs that I've taken out wildlife scouting and had no complaints about their clarity. They're something around 8x24 power and could be better in low light, but for a near-disposable $20 set they do a good job.