For all intents and purposes, the 22" barrel won't shoot any different than a 24" pipe, except for a slight decrease of about 80 +/- fps velocity as mentioned by ChesterGolf.
Shooter skill or error is far more important than length of barrel, even though I admit that when shopping for a new 30-06, I went for a Remington 700 stainless SPS with 24" barrel and standard Limbsaver Recoil Pad. I believe the 7mm Mag in this model has a 26" barrel.
Remington 700 SPS Stainless
In short, longer is better, but don't let the barrel's length be a major deal breaker.
Good luck and happy hunting!
P.S. Stainless price at Sportsman's Warehouse for all calibers is $469. Blued is $399.
From the books that I have read, there is a lot of importance in knowing every nook and cranny of your hunting territory as well as the animal that you are hunting. So scouting as much as possible, just walking the land, will give you a good idea of what's around the corner or what's on the other side of a hill. Which can be very beneficial.
Making your own maps of human and deer trails, and different types of foliage such as group of pines,...