Your better chance, if either you or your husband's industries are on the needed skills list, or you're management, is to find a UK company with US offices. There is an inter-office visa that allows the company to transfer you to the US without running a lottery.
This is the L1 visa for the employee and the L2 for the spouse. You cannot do this for the express purpose of becoming a citizen or permanent immigration (meaning you can't make that statement of fact, it's just for the job man!)
Caveat: You do not build time for citizenship. You can apply for a green card eventually.