I just purchased a Sightron SIII 6-24x50 scope for my Model 12 BVSS and was planning on ordering a base and rings for it today but am unsure as to what height of rings I'm going to need. I'm planning on getting a Badger Ordnance Picatinny base (P/N 306-06SAT) but don't know how high of rings to get.. I'm assuming the medium high rings from Badger will probably work (P/N 306-21) as they are 1.0" high but don't know if I could get away with something shorter or actually need something taller.. If anyone has any experience/knowledge on what height I will need I would greatly appreciate it.. I also am planning on putting scope covers on so I need enough clearance between the objective lens and barrel for those to slide over as well.. Thanks..

http://www.badgerordnance.com/index.php