Ebay UK usually has a least one Thunderbird 350 AVL for sale, they seem to have been imported privately in greater numbers than the 350 AVL Machismo in standard Bullet running gear.
The kick start only models use the CDI ignition which runs independently of the rest of the electrics, so that might be a plus point for turning one into a trail bike. These also have the direct AC powered headlight, so that just leaves the rest of the alternator output to be fed to a regulator/recifier unit with a built-in capacitor (eg Boyer Power Box or its Sparx equivalent) and you can ditch the battery entirely.
The E/S models use a TCI ignition pretty much the same as the 500 Electra-X/AVL Classic, so you'd have to keep the battery even if you ditched the E/S.
All of the ignition components still seem to be available on ebay, as do new barrel & piston sets, I have also seen +0.020" pistons. Same con-rod and big end as the Electra-X, though it ought to have an easier life on a 350. Hitchcock's have SOME parts, the rest are probably still available in India. I couldn't guarantee, but I think they were made in greater numbers for the domestic market than the (mostly export) 500 AVL.
I have been tempted to get a 350 AVL myself on several occasions, but never quite succumbed. No garage room!
A.