I have long experience with the Burris 2-7"s of yesteryear, including on my hardest recoiling wildcats, and never had any issues with them in any way at all. I don't remember them as being that finicky for eye relief at all. My favorite was the old #200293 (yeah I even remember the exact model number, I usually don't forget numbers). Being 15 years old what you have would be at least similar in vintage to those I had many of (still have one that vintage unmounted someplace).
What worked for me on TC handguns was to always mount my scopes as far back as possible, including having custom barrels drilled to effect the same (right over the chamber). In part maybe because I am 6-1, and in part due to my shooting technique with specialty handguns. I usually adjusted the ocular lens at 2X when I mount the scope and level it, then in the field or at the range fine tuned the ocular if needed to get the happy medium at all X powers. Worked for me anyway, for shooting in any position from off hand to bench to Creedmore by adjusting my relaxed length of hold for optimum eye relief as needed, and almost always one handed.
No idea about the newer model Burris, but with the older 2-7's the optimum eye relief ran from about 10"-20" on 2X to 10"-15'" for 7X. With a steady hold you can increase the distance on 7X and still see just fine with the reticle centered, but you do loose some of the overall picture. Works OK for target shooting, but with about 15' field of view optimum on 7X at 100 yards, maybe not for some hunting.
HTH-FWIW