Firstly, this can be done with any local PT. I’d make sure it was someone I would trust with my clients and trust getting referrals from also. And, it needs to be close.
Our facility was going to have a PT in house and there is a lot of equipment involved (tables,heat,ice, e-stim,etc. ) we didn’t have room for. It worked out better just sending them down the road to his office (5 minutes away). The relationship has been 5 years successfully on-going.
As far as billing: when a person goes to pt they have or the pt is faxed a RX from their doctor. Training can go on at the same time. For instance: if my client is in pt for a knee problem, they will still come to me for training, pilates, or aquatic work. The therapists treat only the injury in ways we can not.
Unfortunately, if a person is going to PT, billed through their insurance, the insurance will not pay you for the pilates sessions even though they may be rehab focused. Even if your client has a Rx that reads for Pilates. You would have to be conducting pilates business under the auspices of the PT. Never heard of that happening via insurance companies.
Hope that helps.