Is it legal to have an exotic stripper come to you?

In almost every city and county, there are strict regulations on so-called outcall adult entertainment services. They generally require licensing and include operating regulations. When such businesses have been shut down, it more often than not is because of alleged prostitution, which is the most important issue.

As long as it's not in a licensed premises, and there's no sex, this doesn't sound illegal to me. Use the internet and calls it clothes-less web (cf seamless web for food).

An interesting question. Exotic dancing is frequently a highly regulated industry. From a legal perspective so long as the State regulations are being complied with, i.e., no touching, etc. this is no different than hiring any other type of service. However, if for example the dancers engaged in sex with clients you could be criminally liable for a number of crimes.

You need to get a lawyer in the city or town where you want to run this business and have them work on this with you. Most such businesses are illegal because this is considered a type of adult or sexually-oriented business, and yet it would be operating in places not zoned for it. There have been huge criminal problems with such businesses, including allegations of rape of the dancers, and so most places are very wary and very careful not to let such businesses operate.