Hi All,
Although I can't argue with the suggestion to replace your running 4 tires (retaining 1 for a spare), living in a moderate climate (New Jersey), I would at least replace the tubes if intending to extend their longevity for a short period. However, your hot and humid Florida climate is highly conducive to tire case deterioration from rot and flat spotting as a result of long periods of immobility (indicated by low mileage). These potential conditions (even when not obvious) can produce explosive tire failures at any speed.
Although I have kept tires in excessive of 10-years, I live in a temperate climate (New Jersey) and try to drive my Healey at least once a month throughout the year to assure a constant change in tire position when parked. I do change tubes at lest twice during the initial 10-years and again when considering extending tire longevity for a short period after. I find that a 165R15 is my preferred size to provide road height, the best fill of the well, and good maneuverability for my casually aggressive cruise driving. All in all, I can understand your question as it is difficult to get rid of tires that look good with little ware but it's incognito conditions that require tire-age replacement.
Also, I have had no problems with my front WW hubs but have replace rears due to tooth rounding. Although normal ware can cause this condition, I must admit that, over my early Healey years, I had not properly tightened the knock-off after working in the area and spun the hub in the wheel on take-off. As a rear wheel drive, this condition is not uncommon and I would replace the rear hubs (at minimum), even if an inspection indicates they are satisfactory, if I were replacing Wire Wheels.
Just my thoughts,
Ray(64BJ8P1)