Nope. What I've found to be the only limiting factor (in the Phoenix area) was that being a CFI only wasn't marketable. No one would touch me until I had at least a CFII (a couple wanted a CFII and/or 200-400 dual given). Some schools wouldn't interview me without the checkride done and CFII in hand, others would interview and say come back when you have it. And some didn't even respond to an application. My understanding is the Midwest and especially the east coast really need instructors. So the big ones in Dallas, Atlanta, and especially Florida should be pretty easy. If you're thinking of coming out here, definitely get CFI and CFII first.