> I think I'd prefer to find a different line of business, if it were me.

It's almost every line of business. You probably need a mildly active twitter/facebook/instagram presence if you have a nice nail salon, or toy store. Anything not in a huge popular franchise.

edit: this sentiment puts me in mind of a watch or shoe repair shop guy in the 1960s who refuses to install a telephone because he wouldn't want customers who think that they could just loudly barge into whatever he was doing at will. Telephone culture brings a sense of unearned entitlement that attracts bad people. But you miss out on business worth far more than the irritation without a telephone. Keep the telephone outside the actual shop and hire someone else to answer it. They used to call answering machines "phone butlers."