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.
What do you do with those empty nylon feed bags or dog & cat food bags? Can you say recycle? I use them for target practice for the youngsters. Take your empty shopping bags, stuff them into an empty nylon feed bag. You can also use old clothing or rags, (but put them in the bottom so it doesnt get top heavy). When your bag is full, fold the top over, punch some holes into the top and zip tie the top shut. Paint, draw, paste, or have the kids decorate their new target. Set it out 10 or 20...