People these days TRY to sell project Baris for a lot, but rarely do. King Zephs tend to go reasonably, as do Euro models like Vito, Noblet. Bundys tend to go cheap too.
The problem is...very few listings for Baris are open auction anymore. They all want Buy Now or Best Offer listings. Open auction/bid old American Baris go cheap, talking $500-800, even for a Conn 12M....
I mean, open auctions for Yanis or Yama low A's ALSO end up cheap.... $1500 tops, oftentimes...for a model another seller wants $2500 for, same condition....
I do agree with your game plan, tho....start with an Alto....unless a Tenor happens to pop up for a great price.