Yes, add a thin layer once a week or so.Since my run will be over dirt I assume it will be ok to lay down a thin layer and slowly add more. Our climate is pretty dry so hopefully it won’t take too long to dry them out?
Do you have a place to store a huge pile where it won't be in the way?
Also chipdrop works great in some areas, not so much in others,
finding a tree trimming service nearby can be a faster way.