Hey good work dude! I used to ride with our two whippets, they are unreal. No matter how fast you go, they can always go faster, even full pelt downhill
Had a similar problem with our female whippets pads. Also her chest would get all scuffed from bombing over rough stuff, she’d catch her tail on things, flip over and scrape her head etc. Our male seemed a lot sturdier, he had courser fur and tougher pads
In the end I stopped taking them as they would just get carried away chasing squirrels, rabbits, deer, alpacas (no joke), cows etc. As there were two of them they would get the pack instinct thing and would not give up or come back until they had either caught something or it was well and truly out of sight.
Sorry no useful advice, but fond memories and good to see someone who manages to ride with their whippet