Same issues. Asphalt driveway the horses have to walk down to the street. We had the driveway redone with larger rock than usual- it won’t last as long (because the larger rocks can move around more/don’t pack as tight) but it’s pretty good for the horses… much better than the old asphalt that had smaller aggregate.
There’s a kind of asphalt called chip seal with uses larger materials also that is often done on country roads or roads without a lot of traffic- it’s cheaper, with less oil in the asphalt and more rock, but louder and bumpier so not as nice a ride in a car. If you can find an asphalt contractor that does chip seal, ask about that too… it is an option. Mine is kind of a fake chip seal, but it has been good.
I was scared to do it because I didn’t want the horses to slip, but they were slipping on the old, smoother surface and it was starting to be a series of potholes held together with patches… i had to do something! Larger rock was a good compromise for us.
Edit to add: like a lot of construction stuff, chip seal asphalt may mean different things in different places! Out here, it’s rougher asphalt with bigger rock that makes for a cheaper but bumpy road surface. Learn what contractors in your area have, and what they call it. A good asphalt contractor may have other ideas as well-