If there is a business owner who actually doesn't want certain people, based on skin color, in their business, I want to know who and where they are, so that I don't give them my business. I also want to know who would patronize such a place, for future reference.
So yeah, go ahead and do that, and advertise it.
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But your tax dollars are still being used to create and maintain roads that bring that business's goods to them to sell or allows that business's goods to get to market to sell.
Your tax dollars are still paying for the police that serve and protect that business.
Your tax dollars are still paying for the firefighters who put fires out if they happen at that business.
Your tax dollars are still going to the court system that business uses.
Sure if they want to discriminate let everyone know and totally cut them off from 100% of every benefit they get from tax dollars. So they would have to create their own infrastructure to get their goods to sell or get their goods to market.
That's not reasonable. The most reasonable thing is to follow our constitution and not discriminate against people in business.