There are only two real binoculars that have a range finder added as an accessory. The Leica and the Zeiss. Bushnell is allegedly coming out with one for about $1K. I saw it on some site, but can't seem to find it now.
There are lots of range finding binoculars, at least that are advertised as such. Mostly they are two rangefinders cobbled together to make a fairly crappy binocular that can tell you the range.
If you don't want to fork over for the Zeiss or the Leica, then stay with a two piece combo. One each decent range finder and binocular.
In a roundabout way.....that's where I was headed. How big is yer budget? If yer close to the Zeiss RF price.....maybe I can convince you cuz I just bought one.....8x45.....and LOVE it for several reasons. I also own the new Leica HD Geovid 15x56.