Over the years, I've purchased just about every type of wrist brace produced -- hard, soft, tall, short, strap in the palm, strap across the fingers, adjustable, fixed form, etc. I have a large box to house my collection.
Unfortunately, the only way to know which type will work for your particular situation is to buy and try. The feel and results for a given brace will be different for everyone.
If your main goal is to relieve tendinitis pain, I'd suggest one of the longer hard braces (Gadget, Revs I, etc.) When I strained some ligaments in my hand a few years ago, the Gadget was the only brace I owned that provided necessary relief. After I healed over a 6 month period, I went to the Revs II, which is less restrictive.
But my first advice would be to stop bowling until you heal. A brace will only mask the problem and may never allow things to completely get well. This isn't what you want to hear, but the best solution for the long run. Good luck.