I am sure you have heard it before but "we are all different".
So finding what works for you is trial and error.
One person's "minimum blood sugar" could be someone else's "too high to exercise blood sugar".
But don't let that put you off running.
My advice would be to aim for a blood sugar around 7 or 8, take it easy the first few times, carry hypo treatment with you, do lots of testing before and after (our blood sugars can drop over the next 24 hours), adjust and have fun.
One thing I have done is to put a small amount of juice or fruit squash in my water when exercising. I find this easier to maintain my levels than stopping for a snack.