Rifle Scopes Leupold VX3i eye relief issue

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I have a VX3i 30mm 4.5-14x50 on my Savage .270. I chose this optic due to the light weight and adjustment range/features. I was trying to keep the weight of the system down. However, I have an issue with the eye relief. In order to get a full sight picture while maintaining proper cheek weld, I need to move the scope back a little less than an inch. This presents a problem, because the objective bell sits below my (0 moa) picatinny rail, which I actually shortened a bit in the front to get the scope lower. So, I have a few ideas, and I’m hoping to get a few opinions:
1) use higher rings - I don’t love this idea, because I don’t want the scope height to be too high off the muzzle.
2) swap to Talley rings, but I don’t think this will give me enough movement backwards.
3) shorten LOP on my stock - I wear at least four layers during rifle season, so I’m essentially adding another inch of so of space between my shoulder and the scope. The stock is a B&C Sporter.
4) Replace my optic - I have a Bushnell LRHS 3-12 I could put on, but I do t want to make it heavier. I also love the Leupold, but I could put it on my Swede...
I’ve attached some photos of my rifle for reference. Please let me know what you think.

 

[EN2722]

Does it come in contact with your 0 MOA rail?

1) Raising your ring height may introduce another problem, cheek weld. Without the ability to adjust it, you will be floating your head to find the best picture.

3) is this only used for hunting? Does the stock have the ability to adjust it easily?

 

[Davesnothere]

I know the issue. I would try slightly higher rings. You still have some space between bell and rail. You can get a riser pad for stock.

 

[Megastink]

Does it come in contact with your 0 MOA rail?

1) Raising your ring height may introduce another problem, cheek weld. Without the ability to adjust it, you will be floating your head to find the best picture.

3) is this only used for hunting? Does the stock have the ability to adjust it easily?

If I slide it back any further, it will contact. I just installed a Bradley cheek rest, so I have the ability to go higher. And yes, this is my hunting rifle.

 

[EN2722]

The safe answer is go higher with the rings and in hopes the cheek riser is enough

 

[OG10]

Pull the rail off cut it back reposition your front ring scoot scope backwards done,I’ve done it on several rails no problems at all

 

[Memberberries]

I had a similar problem with my eotech vudu 5-25x50 as it is a super short scope also. I cut the front two picatinny slots off the rail and it's been great

 

[EN2722]

Pull the rail off cut it back reposition your front ring scoot scope backwards done,I’ve done it on several rails no problems at all

I cut mine in a Rem700 SA and have no issues