Some years ago I used to work for a Ministry of Health contractor. We used to make one off chairs for various special needs. Sorry but the business has been closed for some time now.
To make a wheelchair more stable what you would do is set the rear wheels further back. As in making a bracket with a wheel mount, and welding it in place behind the existing mounting position, attached to the down tube and the lower frame tube.
Just a point to consider... when the wheels are set back, the chair becomes more difficult to manouvere.
This type of chair was usually made for an amputee... having less weight forward
(no legs) meant the conventional chair was prone to tipping backwards.
If I had to get this done I should look for an engineering work shop, and describe what you want. It should'nt be to difficult.