The Brits need sea-keeping capabilities in their vessels to deal with the North Sea. That would make the hull requirements a little bit more elaborate than USN needs I would think. If we’re going to build 40 - 80 hulls (I agree with that), then we need something pretty affordable.
One of the ideas floating around is a stripped-down “Burke”. That gets you building a proven hull in the shortest period of time.
Taiwan and South Korea also have new designs. Those might be more affordable.
The reason I suggest this is simply due to development time. Building a licensed copy of an existing design would greatly speed up the time from laying the keel to launch. The Littoral Combat ships have not proved to be up to the job. It was a good idea that didn’t work out.