I've used the Redi Strip shop in Indy. They do very good work. I've also used Indianapolis Dry Strip for media blasting. They are great too.
My experience tells me it really depend on what you're trying to do. The chemical stip works pretty quickly but I'm concerned about two things. First, it can remove material that is intended to buffer between pieces of metal. In many cases, this material cannot be replaced without separating the metal. You may find this in hoods or decklids. Second, I've seen the chemical stay in seams and then start to grow stuff. I had a 60 El Camino body stripped and let it sit in my garage for a year or so before I metal prep'd and shot it. During that time, the material grew some sort of stuff. I'm worried that this could happen under the paint and push it off the car. I don't see how you could be sure you got everything out of those seams before painting.
The dry strip process is pretty good but they are limited to what they can get at. There are areas between panels that they just can't reach with the gun. It can also be a problem if you're trying to spot blast a car (e.g., do the floor pan without touching the body paint). A little carelessness can destroy a point job. Another problem is that the media ends up everywhere and it's hard to get out of those nooks and cranny's. This too can push paint off over time.
It's been a few years since I used Redi Strip but they used to take a long time to get things back to me. Hobbyists are last. Big pieces can take a long time to get into the tank. IDS is fairly quick. I've had complete cars done there in about 2-3 weeks. I usually have small parts (e.g., fenders and doors) back in a week.
Bottom line is that there are pros and cons with both methods. You have to just think through what you're doing and decide. For me; I'm using media blasting exclusively now.
Good luck.