I can't see the picture on school internet, but I second the jr. Cowhorse. It has a lot of mouthpiece options.
As for harshness, I don't like ports on barrel horses except in rare instances. Since I run almost primarily in gag bits, I already have pressure on every possible pressure point that I try to keep the palate (roof of the mouth) pressure to a minimum, and ports work off the palate. It doesn't necessarily mean it's harsher. It also depends on the broken mouthpiece. I like double jointed or three piece mouths (I LOVE a twisted dogbone and the copper roller mouthpieces), but if I need a little more "Bite" I'll go to a smooth single joint and then as a last resort the twisted single joint. The single joint is going to pinch more than a three piece. I wouldn't ever do a small twisted single joint though.
These are some jr. Cowhorses. Jr Cow Horse Bits - The Tack Stop
Here's another option: The sharon camarillo tender touch. I LOVE this bit. It's soft and is balanced very well. Tender Touch - The Tack Stop