I’d take the direct approach and attempt an rational conversation with them. ASK them to explain their concerns and be OPEN to hearing what they say. You must remember that your idea of “false” complaints may not fit their reality. Yes, we need more details, and you must be brutally HONEST and not minimize any fact based concerns.
Have any of your residents behaved badly and given reason for these complaints?
Are they allowed to loiter near the property boundaries, do they have criminal backgrounds, mental health issues, any violent tendencies?
These are all VALID reasons for neighbors to be concerned.
I see this as a double edged sword, while I support rehab programs I also would not be too fond of having a group home next door to me.
I live in a rural tourist community and there is a group home for drug and alcohol abusers a few miles from me near the hub of our tourist community and there has been an increase in crime, theft and local businesses dealing with shoplifting with these people out on day passes.
While what you’re doing is admirable it is also your income source and I could see how it might be easy for you to invalidate concerns because you are making your living off of potentially dangerous people. Tell us more.