Also I'll take any recommendations for soprano, alto, or bari (also super action 80s) 

You don't mention if you prefer HR or metal, but since you are mainly a clarinet player, I will assume that you are looking for hard rubber.  Here are a couple of reviews of some good jazz tenor mouthpieces that are on Steve Neff's website.

http://www.neffmusic.com/blog/2017/04/daddario-select-jazz-tenor-saxophone-mouthpiece-review/

http://www.neffmusic.com/blog/2016/11/phil-tone-jz-series-tenor-saxophone-mouthpiece-review/

They are both closer to the $200 price point.

Also, I was also originally a clarinet player who then picked up the alto and tenor saxes.  From my experience, you can probably get by on alto with a tighter embouchure, but you really need to learn to roll over less lip and relax your embouchure on tenor.  That longer tenor reed really needs to vibrate freely with no damping from the lip or pinching from embouchure in order to get full and lush sounding low notes.

Good luck, and have fun in jazz band! 

You also do not mention your tip size.  There is one Macsax Aura sized new mouthpiece on this very site:
https://www.saxquest.com/product/view/the-new-aura-3d-printed-mouthpiece-for-tenor-sax-7-P8504

These mouthpieces have recently been discontinued, and generally have gotten great reviews. However, they only have 7* (.105) tip opening available, and I don't know if that is appropriate for you.

Note, the price is below $100. 

Just want to add some emphasis to what mjderf wrote about developing a proper saxophone embouchure.  Put it in front of your search for a new mouthpiece.  Selecting a mouthpiece to accommodate improper technique will limit your choices severely and put you on the path to wasting a whole lot of money.  There are online articles on tone-building exercises and access to online lessons at bestsaxophonewebsiteever.com if you are unable to find someone local to give you one-on-one coaching.  Once you're confident of your technique try out some different mouthpieces either in a store or throught an online retailer with a trial program to find the piece that suits you best.  

The Bari Standard hard rubber mouthpiece is very popular as a step-up mouthpiece and is available for around $100.