The Vibe already mentioned could take a coyote at 300 but it would be a stretch as it would be out of what I call comfortable shooting for a 2x, 384 resolution thermal. Again possible, but not comfortable. I would move up to the
Super Hogster for shooting to 300 but you are then out of the OP price listed.
One of my jobs is testing thermals, and if anyone wants to hear my thoughts on brands and products, PM me and I will provide my insight. I do work for Night Goggles/TNVC which is an AR15 sponsor, but I don't get paid commissions, so I will shoot straight with you.