I have rented from Binson's. I explained that I needed to pick it up Friday as I left early Saturday morning for ND. I would return it when Binson's opened Monday and they would only charge me for a one day rental.
There is a wheelchair rental facility in Mishawaka, on Route 23. I used it about 6 years ago and it worked out great. They even picked up the chair at my hotel on the Monday following my visit. Don't remember the name but you can Google it.