We would recommend high height rings.
The Badger Ordnance MAX-50 Rifle Scope Ring set that I would recommend using with your Delta 5 Pro and Nightforce NX8 is model MPN:306-13. This model is high enough to clear your objective lens over the handguard and barrel whilst being as low as possible.
Unfortunately we currently do not have any Badger Ordnance Riflescope Rings that will fit a 1" tube. Here is an option that is comparable though:
https://www.opticsplanet.com/vortex-precison-matched-riflescope-rings.html?_iv_tube-diameter=1-in
Contact us at techsales@opticsplanet.com so we may better assist you.
You would need the 30mm 1.45" high rings to fit that scope.
You would need the 30mm 1.45 in. high rings to fit that scope.
For that scope, you would need the 1" high, 34mm rings, but may not allow for scope cover fitment. Contact us at techsales@opticsplanet.com for more assistance.
You would need rings for a 34mm tube and between a 1.4" - 1.6" height. The only 34mm rings on this page would not be high enough. Here's a link to comparable rings that would work:
https://www.opticsplanet.com/badger-ordnance-scope-ring.html?_iv_tube-diameter=34-mm&_iv_ring-height=1-dot-49-in
For any AR platform rifle optimal mounting height is between 1.4" - 1.6" regardless of objective size. Iron sights are typically around a 1.41" height so you want the optical center of your scope near that same height for a proper cheek weld. The 1.45" models on this page will clear the rail.