Hey Swampmaster. I don’t load for a 7-08, but did check on Hodgdon’s website and they show a few reduced loads for the 7-08. One that looked promising would be a 120 gr ballistic tip over 40.8 gr of H4350 for a mv of 2496 fps. This would basically duplicate the 7-30 Waters from years ago, which at one time, was a very respected whitetail round designed to compete with or surpass the 30-30. I have a 7mm BR handgun that does about the same with 120gr ballistic tips and it does well on whitetails.
Hodgdon had several other loads with the powders for the 120 gr ballistic tip. All of them were around the 2500fps, give or take.
You are doing a great thing for your grandson by reducing the recoil. Make sure to let us know how it turns out.
Thanks. -Rufus