Okay, so let's address the important question NOT addressed- inner tubes with RADIAL tires. The Thunderbird/Sport/Adventurer came from the factory with WIRE SPOKED WHEELS and "radial" tires, (usually Michelin), with INNER TUBES, (and rim strips). MUCH debate on question- ONLY special "radial" tubes are to be used with radial tires. Supposedly safety issues with differing sidewall flex characteristics radial vs bias ply tires and lower profile of radials. In Feb/March 2015 issue of Cafe Racer Magazine "Workshop Files" column there was an answer by editor Matt Wiley to this very question concerning tires for my 1996 Thunderbird. At the time his advice was to go to a matched set of bias ply, (belted rear) tires/tubes. He addressed the safety concerns- mainly heat buildup and the lower profile of radials vs bias ply. I went with a cheap set of Dunlop 404s- twice.
Well, it's now 10 years later. Tire technology has advanced. AVON now specifies their "Spirit ST" radial for my Thunderbird, (which again, was OEM with wire spoked wheels which REQUIRE TUBES be fitted!). I emailed AVON and asked the question about tubes for radials- their answer was to send me a pdf catalog of their motorcycle tires and tubes but NO MENTION of tubes for radial applications. Not in the tire section, not in the tube section. They just ignored my question.
Bridgestone is the only Mfr I could find that made an inner tube specified "for radial" tires! But NOT in the sizes needed for the Triumph.
I have emailed tire Mfrs, suppliers, and NONE will give a definitive answer- even TRIUMPH! - "We can only recommend the original tires"- which ARE NO LONGER MADE in those sizes!
So, what to do? Bought a pair of the AVON Spirit STs- 110/80zr18 front, and 150/80zr16 rear, (as specified by AVON as the replacement tire for this bike). My supplier sells Michelin Airstop tubes which are a known quality item, but no word yet from Michelin whether the Airstop tube is suitable for use with radials.
So, what is the collective knowledge/experience of this group of owners of these bikes?