Trail-Rags Covers and Tops: The ultimate in soft top design, function and durability. The top could be the Trail Rag Original and Ulitmate.
OR Saddle Rags Covers and Tops...with the same header as above.
The top could be the Saddle Rag Original and Ulitmate.
Company could be called "Horse Blankets: Custom tops for town, trail and beyond"
Versa-Top
Beyond Trail Covers: When just a soft top is not enough...
BeyondTop: Beyond fit, beyond function, beyond durability...BeyondTop
I will try to come up with some others...I know you are thinking about a specific name for this particular top, but it may help to think about the company name, logo and from there design names that fit or play on the company name.
I also like the Saddleback