RE: Is a 22-250 strictly a varmint gun?
In the right hands (very responsible and accurate hands, and where legal), the .22-250 has taken many many deer...my aunt hunts in TX, where wild range deer are no more than greyhounds with racks, the .22-250 is a viable weapon for her and she' s had outstanding success with it. In most other situations, no, it' s not a good choice, but I won' t tell you it' s not a deer rifle at all, it' s just not the best choice...if you' re in maine, I don' t even think it' s a legal choice, and with the size of your deer, it' s not a good one at all.
For deer populations where 130-150# dressed weight is average or light for fully grown adult does (bucks should be heavier still then), then the .243 should be the minimum cartridge, if your bucks are lucky to hit 180# on the hoof, like in some desert/plains regions, then there' s nothing wrong with a .22-250, but I can' t imagine that you' re hunting deer like that in Maine.
I' ve also known people that have great success with .22-250' s or .223' s on Antelope, which I feel would probably be a decent low-range cartridge for this game, as long as they' re hunted up close, and not from ridge to ridge like many 7mm rambo' s so enjoy.