The 7600 is fine; I have one in Whelen, but it's about a pound heavier than the BLR.
When I take the BLR and the 7600 hunting, I end up with the 7600 every time, as my wife insists on the BLR. The 7600 is a little heavier, and it doesn't feel as solid. More sheet metal.
I like the old steel BLR's a little better, but for all effects and purposes, the newer ones are probably a better choice here. They are a little lighter.
We also should not rule out self loaders, like the new Bar short-trac. Only available in 308, but the gas operated action is going to soften recoil a good bit.
The only objection would be the cartridges whizzing right in front of your face.
Hope we didn't confuse you too much, Dutch.
PS: I'm seconding Denton's recommendation for the Burris FFII with ballistic plex in 3x9. Best $179 you'll spend.