This would certainly work on the combo-gun!
This does not come with a kit, however, we would recommend an EGW Guns 1-piece picatinny rail, and a pair of our medium-height Pro-Series 1" rings, PN# PR1-M!
To mount the Vortex Diamondback Rimfire 2-7x35mm 1in Tube Second Focal Plane Rifle Scope to a Remington 597 the 1" diameter scope mounts at the link below should work fine.
https://www.opticsplanet.com/dnz-dednutz-remington-597-one-inch-scope-tube-mount.html?_iv_parent-gun-make=remington&_iv_parent-gun-model=remington-model-597
To mount the Vortex Diamondback Rimfire 2-7x35mm Rifle Scope to a Ruger 10/22 competition low rings should work fine. The 1" diameter low Vortex Pro Series Rifle Scope Rings will work. Those can be found at the link below.
https://www.opticsplanet.com/vortex-pro-series-30mm-riflescope-rings.html?_iv_tube-diameter=1-in&_iv_ring-height=low-0-dot-75-in
For the Vortex Diamondback Rimfire 2-7x35mm Rifle Scope, you will need the Butler Creek Flip-Open Scope Cover sizes 21 for the objective lens and size 17 for the eyepiece. These Butler Creek Flip-Open Scope Covers can be found at the links below.
https://www.opticsplanet.com/butler-creek-flip-open-scope-covers.html?_iv_size=21
https://www.opticsplanet.com/butler-creek-eyepiece-flip-open-scope-covers.html?_iv_size=17
The Vortex Diamondback Rimfire 2-7x35mm Rifle Scope is designed for use on rimfire rifles. It might hold up on a 22-250 but I recommend using another scope to be sure. The Vortex Diamondback scope listed at the link below would be a better option.
https://www.opticsplanet.com/vortex-riflescopes-dbk-m-04p.html
The Vortex Diamondback Rimfire 2-7x35mm Rifle Scope may work on a shotgun, muzzleloader or centerfire rifle but it is designed for rimfire rifles. I recommend the scope listed below for the firearms you listed.
https://www.opticsplanet.com/vortex-riflescopes-dbk-m-08p.html
Your best bet would be an offset mount. Something like this: MON-MT-MONDRSM-ZR254-B or this: VX-RR-CRM1IN-CM-102
Per the manufacturer: Argon purging puts waterproof and fogproof performance on the agenda, and advanced fully multi-coated optics raise an eyebrow when crystal clear, tack-sharp images appear in the crosshairs.
You would need to confirm country of origin with the manufacturer.
You would just need a set of dovetail rings as your rifle should have a dovetail on the top of the receiver. Something like this:
29T-RR-MD263-BKL-263-MB