yeah
Folks are taking deer (and hogs) with the .223, with the AR fad running full cry. So a .22-250 is just more of the same. I have a brother in law that shot quite a few deer with the .22-250 (cause it was all he had) and 62-64 gr SP, and he said it did fine, "shot right through'em". This was long before the AR/223 craze. He shot the same rifle for woodchucks, and was quite good with it. It was a heavy barrel varminter, weighed a ton with a steel tubed Weaver on it (I think), and he finally got tired of lugging it around....and got a conventional deer rifle.
The 22-250 should have an edge on its .22 caliber siblings due to its higher velocity. That may well work to your advantage with the 1-12 twist as well and the "heavier" 64 grain slug. The slower twist rate of your rifle may be borderline for accuracy.....maybe not. I'm sure you will bench it and find out.
There are better, more conventional choices for deer, but a heavy, premium .22 slug will work with good shooting and attention to your angles.