what are the best models and lenses for offshore saltwater fishing

The HCL bronze lens on any of the full coverage frames is best for offshore. I have multiple pairs of both Maui Jims and Costa del Mar 580s. Yes, the Costa 580 lens is awesome, but so is the MJ HCL bronze lens. Kaenon lenses are polycarbon lenses that give me a headache.

Anything Maui Jim makes is awesome for salt water fishing since all of their lenses are polarized and have a water proof coating on them (H2O just beads up and rolls off!). Maui Jim is the Title sponsor of many Marlin fishing tournaments in Hawaii. One of which I was lucky enough to attend (amazing fun!). I obviously wouldn't choose anything other than Maui Jim.

I have a lot of experience with offshore fishing. Obviously you want a polarized lens, and in general, maximum filtering/blocking. The classic offshore look is mirrored glass, and it is hard to beat costa del mar. the alternative is Kaenon, who makes fabulous glasses, and can be hard to find. I would suggest the G12 lens.