Ring heights vary dramatically from brand to brand. Medium height Warne rings are not the same as medium Weaver. Not even close. First, I suggest looking for something lower IF you have enough clearance with that 44mm scope bell. If that's a problem, I suggest changing scopes. Frankly, I think 44mm is a bit of overkill, especially for a novice. If you check the threads on here, you might find further inspiration for trading off that Vortex scope.
My concern about raising the cheek rest is it may place the butt stock poorly on the shoulder of the shooter, especially if the shooter doesn't have much shoulder to play with.
And finally, take a look at the height of that rail. You may be able to find a lower one. Doesn't have to be Vortex. Rails typically all take the same rings (Weaver style). Some rails are made higher to facilitate loading integral magazine from the top. Look for a lower rail with cutout slot designed for top loading. I was able to get a cutout rail for my 03A3 Springfield that was exactly the same height as Weaver bases it was replacing. Those Weaver bases with Weaver medium extended rings was a perfect fit for me. Unfortunately, when I went to Warne quick detach rings, which are not extended, I had to lose the Weaver bases. The tube on my scope was too short for standard (non extended) rings. No one makes extended QD rings so I had to do something about the bases. Rail was the only option. The difficulty was finding quick detach rings that were the same height as the old Weaver rings. I wound up getting Warne low rings which were still slightly higher than the old Weaver medium rings. Best I could do short of ordering medium Weaver QD rings which by all accounts are junk. Not sure if they are even still made.
Edit: I see you mentioned the LOP (length of pull trigger to butt) is 1" short. There's a lot of your problem. Try putting a slip on and see if that helps. Limbsaver slip on is NOT the way to go! Too soft and won't stay put. The recoil will cause the back of trigger guard to batter her middle finger. Also, they tend to wiggle around off kilter. Pachmeyer are better but their easy-on design is also easy off ... in the brush. I just lost my fourth one in a standing corn field two days ago. Duct tape will fix that. Or order a good leather one. For now, just get a real cheap one and see if there's an improvement.
