Yes, there are Arabian saddles out there. It would be best to work with a store that can help you on fitting though, as a standard Arabian tree doesn't fit all Arabs
. Kevin at Southern Trails has a nice selection of US made saddles and will work with you to find just the right tree fit. He can make almost any of his saddles on any of his trees. Email him when you're ready to buy a new saddle. Western Saddles, Trail Saddles, Western Trail Saddle, Ranch Saddle
If you want to go used, then it's best to find a brand and tree size that fits you both, then look for the same brand and size (and approx age) of saddle used. Again, pay attention to skirt length for western. Measure that saddle you have in those photos, and make sure any saddle you look at is the same length or shorter.