I'll also say that I think Wichita Band is a tad overpriced
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I really did my best to try to answer OP's question by (mostly) holding to the horns he asked about. I didn't want to get into the vintage instruments discussion, because I'd probably start talking about Yamaha 61s or Yanagisawa 880s and then waxing prosaic about other vintage horns. However, considering I didn't bring them up, I can safely say, "Well, it was fromsfca who started it!"
* "Pre-WWII Conn" is way too vague. New Wonders and I never agreed with each other and a Wonder Improved, New Invention, and "Worcester" are going to be a tad too old. Hey, pre-WWI. When was the Spanish-American War, again? Some Conns predate that ....
Anyhow, to be a little more exact, one of the best sounding and playing tenors I've ever played was a Conn 30M, which did start production before WWII. I don't think it'd be as flexible as the horns OP mentioned, though. I wouldn't want to go through college with one. I think I could make a very good case for a late-model Keilwerth, say Superba-era or newer, because they have a lot of the "Conn stuff" and are much easier to control ... but, as I said, I wanted to try to keep it focused on the horns the OP was looking at
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* Essentially the same thing as I mention about Conn applies to King and Buescher: you have to be specific. fromsfca is probably thinking King Super 20, Silver-Sonic, or Zephyr Special. Again, not necessarily bad choices for jazz or rock, but definitely not for classical -- and you will play classical stuff in college. I can also say that one of the horns with the worst intonation I've ever had to contend with was a King Vol-True. Really annoying keywork, too.
A Buescher "Big B" Aristocrat or 400 "Top Hat and Cane" (or Super 400) are probably the ones fromsfca is thinking of. Again, nice horns and if you're going to have a sax instructor that's a Sigurd Rascher fan, the "Big B" will score you some points. However, the keywork is a lot more awkward than the modern horns OP lists and no pre-Selmer Aristocrat or 400 has an altissimo F#. The intonation is very good and the tone is quite lush, though.
One of the things that Helen mentions in her review of the SeaWind tenor is that you don't have to adjust your embochure that much to get it to play in tune. That's a major disadvantage of older horns. Yes, I know if you spend enough time with whatever horn, you will start automatically adjusting to the horn's quirks, but that takes time -- especially if your ear isn't that good.
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I think that you can make an argument that some vintage saxophones really can't be improved on. That's a really difficult argument to get into, though. I'm interested in vintage horns because a) I think they're really pretty and b) a lot of them are cheap enough that I have a chance of buying one, if I wanted. Hey,
the link I posted in my previous post is an article I wrote on good vintage pro altos under $1000 that I'd have no problem recommending -- and some I can recommend, but I have some reservations about. I might do an article on NEW pro horns, but I think that the average price is going to be much, much higher than $1000. Probably much higher than $3000.
I happen to know the neck of the woods where OP is actually from. I'm an admin, so I can see IP addresses. The very, very best suggestion I have is to contact Gandalfe, provided you've already tried the Trevor James and the SeaWind. He works with our other forum sponsor, QuinnTheEskimo, and can get his hands on a bunch of new and vintage horns (I don't think he has any TJ horns and SeaWind is only through two different dealers, IIRC). Gandalfe is a bit of a drive from where you are, Harley, but making sure your $3K to $4K purchase is really worth it might be worth the time.