Your Tenax tube Supersport was probably made in Greenville Miss like my Prelude.
Actually, my frame has a "Made in Japan for Schwinn" sticker on it, right above the bottom bracket.
I wouldn't use a threadless adapter. They are ugly and give no advantages over a quill.
Already own the adapter and stem, and I don't think I'll mind the looks. I'm a function over form type of person anyway. I will need to replace the stem because I decided on a set of oversized bars and the stem I've got is regular sized.
One thought. I have done what your talking about several times. It is fun and all but when your done you don't really save any $.
Yeah, but this way I get to waste money a little bit at a time, instead of all at once.

Kinda spreads the fun over a longer period of time.
Actually, I'm a big fan of steel frames and this seems to be the best route to get a lightweight, affordable steel framed road bike. Most everything else in a comparable price range will be aluminum. I know I could stroll down to the local thrift shop and have my choice of large framed road bikes complete and ready to ride for $25.00, but for some reason I don't seem to find the finds that others seem to. That, and I like the idea that I'll be rolling on a steel framed Schwinn sporting all the more recent technical advances.