It will probably take a few months to get an appointment with someone else anyway so the difference between waiting for the Eides and a "regular" evaluator is probably not going to be that long. As someone who spent $3k on a neuropsych eval that was deemed "invalid" I would absolutely wait for the experts. No question about it.
Also you will probably have a good chance of getting in sooner from the waiting list since you are local. People travel to see the Eides so I am guessing that a number of people book a year out then can't actually make the trip. We were able to get in 2 months early that way with a local guy for a "redo" evaluation even without travel in the equation.