Yes, the stigma is there. And it gets worse when the time comes for shidduchim. It is generally less out of town, but all depends on the attitudes of the local community and of the particular rebbe. Some rebbeim are sympathetic, others – who are probably less sensitive to children in general – can be difficult.
Generally, the smaller the community, the more accepting people are. Best to get out of the New York-New Jersey area, far from the operations of the “cookie-cutter” that is driving so many of our kids off the derech.