Not sure what your red squirrels are out there in Idaho. There's often some confusion when people from different parts of the country start talking about fox squirrels and red squirrels. In some places what we call Fox squirrels here in the midwest are called red squirrels elsewhere.
In Michigan we have Fox, gray, black, and red squirrels (and a species of flying squirrel that I've never seen). The fox is the largest and prefers woodlots adjacent to farm fields for habitat and feeds mostly on corn and nuts. The gray and black (which is merely a color phase of the gray) prefer larger forests (especially oaks) and spend more time up in the trees than fox squirrels do. All three are good eating. Our red squirrels are scrawny little b******s and love to go ballistic at you when you're trying to sit on a deer stand! They thrive in pine, spruce, and hemlock stands and taste like their environment!
They are challenging to hunt with a .22 because they're a small target and always moving.
In New Hampshire we don't have Fox squirrels but we have the scrawny little red squirrels. There's no closed season on them because we have so many. They're great for introducing little kids to hunting because we have so many of them. They actually taste ok if you can find ones that have been feeding on acorns instead of pine/spruce/hemlock/fir. I blast away at every single one I see around my house, they love to cause damage. We have grey squirrels and flying squirrels as well.
Liberal Logic 101:
Americans shall be required to submit to a background check to exercise a right already guaranteed by the 2nd Amendment while any foreigner shall be allowed into America without submitting to a background check.
H&R family: Topper 88 16 Gauge Mod, Pardner 16 gauge Full, Model 480 Topper Jr .410 Full, Handi .300 AAC Blackout