Well, I think it depends on what you really want to do with her.
In order to show in a recognized Arabian show where she could earn points, she needs to have her registration papers current, and the cost is quite a bit more than a local open show. I mean, expensive. Some classes, in a Region show for Arabian halter, you could be looking at $300 just to enter.
So if you're SERIOUS about it, then yeah, absolutely I'd go for it.

If not, then I'd just stick to local shows, but I'm sure if you did some digging around, you could find some shows that are for Arabians, just not AHA recognized.