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Thank you for your constructive post.
As an example my Holdsworth HH1X has chambers, is a tele and sounds way way more than a 335 than any Tele Thinline I played, and I played a lot of them for decades until they annoyed me enough to get rid of them. Pity though that I sold my 69.

So it can be done, to get closer to a 335, and Carvin/Kiesel made a good stab at it, never mind the institutionalized nay-saying.
Brian may Red special with neck and middle (humbucker mode) as I can remember, is about as close to 335 as I could get, but due to the wrong pickups it honks too much on the high-E in upper registers. The cavities sure makes a big difference there. If it has standard humbuckers it would be very much like a 335. It definitely has that push behind the note a good 335 has.

I will keep your experiences in mind.

I will look at your experiences listed and compare with the BHM/HH1X and make a decision how I will apply it to the tele body.
It will definitely not be an arch top. Teles look real awkward with archtops.

I have this junker guitar that I experimented on, it started from a cheap harmony archtop. I added a pickup and ran a brace from the neckblock to the endblock so that I could easily remove the back and the thing would stay in tune. I experimented glueing all kinds and shapes of wood into it and carving the interior wood into different shapes. At one time I wanted to make it as light as possible while still sounding like an electric guitar.
Later I add a bunch of hardwood trying to get it to sound like a 335. Now there are pounds of ebony in there.

My conclusions: changing the wood a little bit under the bridge and the pickup pretty much always changed the sound noticeably. Unfortunately they were just different sounds that I didn't like too much. Taking the back off never seemed to make any difference. I'll bet the folks at Gibson made a lot of prototypes to invent the 335.

I don't have much advice for you. You might consider roughly and cheaply knocking out a few experimental bodies, screwing the same tele neck, bridge and control plate on until you find one you like. I have a couple guitars I play now where I can remove the pickups and control plate without unsoldering anything except the ground wire to the bridge. It makes experimenting easier.

Good luck, it sounds like fun!