In one of my favourite songs BLACK FOX by Graham Pratt, there is a sort of half time change over of who chases who. why not have a similiar sort of arrangement so that the Foxhunters chase the Sabs for half of the day and then the Sabs take over ? In normal british fashion the two sides could toss up for who goes first.

I think you'd have trouble hunting squirrels with dogs - they're not very good at climbing trees - horses have even more difficulty.....