Mitigate shipping fees for heavy items

Is there a way to mitigate shipping charges with FBM? The product is 18 pounds. If I ship to Charlotte it costs me $6 which I’ll be profitable at, but if I ship to California I’ll be negative. I obviously can’t control who purchases and where, so due to this I can’t buy. I have such a good deal too which sucks. I’ve thought about charging for shipping but worried I won’t make sales considering the other sellers have free shipping. What would you do?