There are huntable populations of grey squirrels (and black colour phase) within an hours drive of Sudbury, I get out a few times each year. The red squirrel is protected from hunting only as it is classified as a "furbearer" and can be taken under a licence to trap... as a kid, I thought a squirrel was a squirrel, and shot and ate hundreds of red squirrels... they are good BTW, years later I discovered they were considered furbearers, and was chagrined, and also thankful that I did not get spot checked with my limit of reds! That was 40 years ago, so the statute of limitations should be up on that faux pas.
That's good to know about more plentiful populations of greys not too far away. I would guess you mean south, down Hwy 69?