Why go to DRE or AAA, there are a few fabrication shops closer to you who could do the mods to the seat. I would also call Recretec, they do custom work as well.
Problem with mesh seats is that you need a cross bar on both sides of the dry box. By default, recretec frames don't have a bar in the back of the dry box, only the front.
If you are set on mesh seat, I'd look into a rear cross bar customization. My friend is going to do it to his recretec frame by sending the piece back to them to add the bar. Then you could weld brackets to it to the cross bar to make it swivel up and down. Then the seat would sit on the other cross bar.
Another advantage of having a cross bar on the recretec frame is hook in points for "Everything Bag" in the stern. A lot of my friends are switching to those bags now and the friend with Recretec frame can't quite balance the bag out correctly until he gets the cross bar. Hope that made sense.