For Farangs the best place to learn Muay Thai is Fairtex. They have trained many excellent foreign fighters and also provide programs for beginners. If you come to Thailand and you want to learn Muay Thai you have to give it full committment and spend at least a month as a full time student at Fairtex. look at: http://www.fairtexbkk.com/
If you ant to train Muay Thai and integrate it into other fighting styles (MMA, mixed martial arts) join the Bangkokfightclub. http://www.bangkokfightclub.com/english/home.html
As I'm learning Kick-Boxing right now, my goal is just to use my trip for ~2 hours a day thai-boxing lessons.
I think the best for me would be individual lessons to progress quickly. I checked and BKK fight club offers it for 800 Bahts/hour (non members). Do you know other clubs that might offer that ?