I have used bassets and they are great. Slower overall than beagles which results in less loss and quicker checks. Most of mine got too smart for their own good after a period of time. They would run the bunny when jumped until the beagles came in and took over. Then the basset would come back to me and listen for the beagles bringing the rabbit back. At that time they would go out and end up turning the rabbit and I would not get as many quality shots. They were faster than a beagle when the rabbit was jumped.
Now use a beagle and dachshunds. Not as many rabbits but lots of fun and fewer long deer runs.