Re: mouthpiece help
The good Beechlers are the vintage ones, and aren't worth the trouble of tracking down. Ressaou( I know that spelling isn't even close) makes good legit pieces, but not jazz.
If you've got that much, look at maybe a vintage NY hard rubber Otto Link, or a new Phil Barone, those are about 160 or so. Berg Larsons are great, but if you don't know much about mouthpieces, it's hard to find the right measurement, unless you can locate a comparison chart. My Berg is 95/100, and I can get a lot of air through it. I also use Morgan mouthpieces, which are great for jazz, check out the website.
Definetly don't spend more than 200 bucks on a hard rubber piece for alto. The 300 dollar one you saw was probably metal. DO NOT buy a metal mouthpeice for alto, please.
What sax did you end up buying?