I don't know if the Bushnell Elite 6500 2.5-16x42 is in your price range or not but I have several of these and they're excellent for when you're hunting in thick brush but may at any time step onto a clear cut and see a nice buck on the other side of it.
They're a bit heavy and require 30mm Rings but I found them to be nearly perfect with the best glass in the industry and fairly repeatable reticle adjustments.
SWFA Riflescopes Bushnell Rifle Scopes Bushnell Elite 6500 Rifle Scopes
Failing that I've had good luck with the Nikon Buckmaster series and consider them the best bang for the buck hunting scopes I've used in the last few years.
The 4.5-14x40 with BDC reticle would easily meet your budget and is quite a nice scope but the optics clarity and low light transmission, although good, won't touch the Bushnell Elite scopes.
Buckmasters 4.5-14x40 Riflescope SF BDC Reticle Matte