I don't know of any websites that might help in ID'ing it but unless it was a commercially available pattern or mass-produced, I dunno that it would help anyway.
Are you sure it's a Rya rug? They are made by tying a specific type of yarn on a specific type of canvas in a specific way. There are shag rugs with Scandinavian-looking designs that aren't Ryas, in other words.
A few years ago I thought about making one myself. I found a video on Youtube of a guy making one and explaining the technique. Turned out the materials were very expensive so I decided to wait until I found a beautiful Rya in a thrift store. (Still waiting. Ha.)
You should also verify that the pile is wool, which you can do by taking a tiny stnip and burning it. A half inch of one strand is enough. If it's wool, it'll smell like burning hair and will leave a black, crispy ash that crushes easily.
This was and is a fairly simply fiber craft to do so there are probably plenty of home designs out there, not to mention obscure kit Ryas. But who knows---you might find yours! Weirder things have happened...
Did you just add the photo of the back? I didn't see that before. Yes, definitely a factory piece. That canvas would have visible yarn knots on it if it was a Rya, unless maybe a stiffer canvas was bonded to the Rya canvas for weight. I dunno. Even if it was not a Rya, there would be yarn knots on the underside, just not as big. I think it's an added backing.
It's a lovely rug, Rya or not!
This was an Ege Rya with a similar design and colorway but with more assymetry.
I also found a photo of the back of an Ege rug. It has that same canvas as I showed above and you can definitely see the knots, so I don't think that's it unless a backing was added...but that doesn't seem likely either.
(Also, dammit--now I've got the bug again to make one!!! But I won't.)