Hi. Congrats on the new G2. I would have to recommend the Leupold Vari-X III 2.5-8x32. I've put one on a 7mm-08, 44 mag, and a S&W .460. I've had great results with each.
I believe the most important considerations with a handgun scope is durability, eye relief and light gathering ability. Big-bore handguns place a tremendous amount of torque and energy on a scope, therefore if the scope is not of superior quality it will at the least tend to lose point of aim and may just outright fall apart. You can not ask for better quality than Leupold.
As you mentioned, variable scopes tend to change the eye relief with magnification however the leupold does not to an appreciable amount (15 inches from 2.5 - 8X) The eye relief of the burris 2-7X is 11 to 21 inches. So obtaining the sight picture should be much easier with the Leupold.
Lastly, in my experience with handgun hunting, the limiting factor with a handgun scope is its light gathering ability. Just a small increase in light gathering ability will extend the time you can remain in the stand. These dawn and dusk times are usually the exact times when the larger bucks tend to appear. That 15 extra minutes may be the difference between the trophy and going home empty handed. Make sure you get a 32mm scope and compare the light gathering abilities. There again, I believe the Leupold is superior to the others.
Now, truely I'm not a Leupold salesman
. And I have seen on this forum people who have had bad experiences with the Leupold. I think you can get lemons with anything. But I continue to think that overall the Leupold is the way to go.
Good luck with your decision and have fun with your G2.