The more secure solution is to become a LIR ("internet provider") yourself and use one of your own adresses (which is yours as long as you pay the fee to the RIR (registry)).

But that is a very expensive solution. Think thousands of dollars up front and thousands of dollars a year.

In practice the best possible way is likely to get a stable IP somewhere (local provider VPS or cloud "elastic ip" ) and host a vpn-router there yourself, that forwards traffic to the real server (this does not work very well if you service is high bandwidth).