I have a recirc pump at my water heater to keep hot water at the faucets on the far side of the house. The clip-on aquastat I have does not shut off the recirc pump because the pipe only gets to about 98 degrees. Is it possible to get a clip type aquastat that will shut off the pump at 95 degrees?

Sure. They make surface mount (or strap on) aquatats that will meet almost any temp demand you require. Just do some searching and you will find the one that fits your needs.