Tim,
I have been doing the Thanskgiving turkey with a Weber 9890 rotisserie on a 3 burner Weber gas grill for over 15 years. Turns out very good. I’ve also rotisseried chicken a few times and ribs in a basket a few times. I really like it.
My burners run side to side so I only use the front and or back burners with the rotisserie. With a 2-burner grill it might be an issue to have indirect heat.
Go to the weber web site and see if they have a rotisserie for your model grill.