Depends. Have you done the low cost clinic before and how did you respond to it? Was it worth the money you spent or should you have put that to a higher cost/more successful round? And is there any chance you could see another FS at your higher cost clinic who might be able to get the ball rolling quicker?
Personally I prefer not to clinic hop, only because I think consistency is key with this sort of thing. It's actually the reason I didn't try a new clinic recently. The 'new' FS told me my old FS would have had a plan and was working his way through it, and at 'our age' is would be remiss of me to not stick to the plan. It was food for thought.
I will give you the same advice I give everyone on these things. Think about all of the above and go with what your gut is telling you. Do you feel an urgency? Then do a low cost round. But if you can wait, I reckon go for the more specialised care.
Hugs hon, it's a toughie and I've been no help sitting on the fence.