I'll give you four (4) good quality range finders that will perform to your standards out to 600 yards. The laser beam diameter is probably the most important element - for the price Leica is best and the 1200 would do just fine - the 1600 won't give you much more (so I've been told) - then comes Zeiss, then Swarovski.
I've had the Zeiss and it worked extremely well but I found the ranging circle a little large to hold steady on long ranging - I think that will be a problem with them all, so you might need a decent rest when ranging to 600 yards on deer.
I sold the Zeiss to a fellow who just had to have it and he had real deep pockets - I now have the Sig Sauer Kilo 2000 and it's every bit as good as the Zeiss was. When I range a prairie dog mound and get a reading of 846 yards - I just add a little salt to the bullet.
Can't speak to the less expensive range finders but if you look on some sites such as Sniper's Hide, you can find some lightly used models for a good price - I purchased the Zeiss and Sig used off the Sniper's Hide for a great price - they will post a price but usually will accept less when contacted via PM.
Expect to pay between $350 and $475 for the aforementioned models in used condition - Swarovski being the expensive one.
A side benefit to a rangefinder is they also can be used for glassing game - not nearly as good as binos but they can perform double duty in a pinch.