From real estate investors to other small businesses, I talk to people daily who have no idea about the potential liability under the Telephone Consumer Protection Act ("TCPA")(47 U.S.C. 227 et seq.).There are two initial issues that can create huge problems with your suggestion.

"owned outright"- do the members have personal debt to support this, or is it both zero for personal and for the business?

As far as the business card is concerned, to me personally I think having both things on one business card is acceptable .  

There may be a way to reduce property tax reassessment by using LLCs, but it is a complicated plan, takes time to complete, generally needs a business purpose, and is not without risk. 

My business partner has two STRs adjacent to ours that has several 1-bed units that rent very well during the week. 

We're living in times when franchises go out of business overnight, but healthcare will never be since it is essential. 

Make sure you connect with the NHREIA, great group, they have monthly meetings in Manchester and a busy FB group with 3500+ members.

I have experience with this business model. 

The business venture that went sideways?

Having trusted resources in market have been helpful in managing our properties and contractors especially when my non-real estate related consulting business is in its busy season.