Floating floors need a FLAT subfloor. They can't tolerate different height sections. Vinyl can tolerate it better but will telegraph every hump and bump and will look as bad as your prep does. The best choice would be solid hardwood, nailed down. If your husband cannot get the subfloor and joist supports flat and straight then it's time to call in a pro who can. You might want to call in a structural engineer for an inspection on general grounds. Termite damage is nothing for an amateur to mess around with. Your insurance company may insist on a structural inspection pet repairs anyway in order to keep your policy.

Can't comment on floating floors--most people I know who have them have a slab foundation and some like, some don't like because of the noise factor.
We have FL home with lux vinyl plank floors and while I don't like the coloring of the style in some areas, the vinyl itself we love...
We have had no issues with seams coming up--it cleans well and allows us to come into the house from pool area while still drippy w/o problem...

We need to have master bath redone and because of what we are doing will need to replace the flooring in there--so to get a continuous look we are replacing all LVP in master suite--
the brand/style we found making short search is Bella Cera Rome in driftwood--
this has more of a texture effect on the surface than the brand in there now--
I am starting to think maybe a totally even surface would be better since it would be easier to mop/clean and might not trap any little debris in its crevices...
they are very low/tiny -- but they are apparent when you touch the surface...

So yes to LVP flooring--just get the best you can afford because cheap looks it