The Burris Xtreme Tactical 8-40x50mm Riflescope does not include POS-Align inserts/rings. They would need to be purchased separately.
The Burris Xtreme Tactical line of riflescopes are only offered in a 34mm tube diameter.
Found one. Tenebraex AB0000-ARD
The ring height needed for the Burris Xtreme Tactical 8-40x50 mm Rifle Scope depends on the gun its being mounted on. Here is a guide to help you determine the ring height you need. https://www.opticsplanet.com/howto/how-to-how-to-measure-scope-height-scope-ring-height.html
However, being a 50mm objective lens I would recommend 34mm diameter high rings to be have enough clearance.
In the Burris Xtreme Tactical Rifle Scope line there are 3 generations. This Burris Xtreme Tactical 8-40x50 mm Rifle Scope is from their second generation. Now, there are multiple scopes in this line, so if you are wanting information regarding what's different between the scopes you listed or generations please email us at techsales@opticsplanet.com for more information.
You could go with this scope: BR-RS-201080A and these rings: BR-RR-SU300-420211