I've got a Winchester Model 70 chambered in 7mm Rem Mag and love it. I'm a huge 7mm Mag fan, even pursuaded several friends to get one for deer season. The recoil only becomes a problem in warm weather, speaking that I'm only 5'6" and 165lbs. I like a harder hitting bullet so I lean more on the 175 Power Point in the Winchester ammo section. They are really a great deer gun, maybe a little much for thicker wooded areas, but you could definately make the shots in close quarters (like shooting through forks in a tree). I've never shot an elk but would love to travel to Colorado for some elk and mule deer.
As for the costs for shells in Europe, no clue. In the U.S. they average around $21 for a box of 175-grain Power Points, actually designed for larger game such as bear, elk, and like animals. For deer, the bullet will turn them for a flip and dosen't tear up as much meat as a ballistic tip. Although I'm trying out Winchester Surpreme ballistic tips this year, I'd go with the Power Points. That way you wouldn't have to worry about the differences in bullet drop between a bullets if your a little too focused on the trophy.
The only other bullet I've tried is the 175-grain Remington Corelokt Soft Point. I wasn't impressed with its knockdown power at all and had to track several deer over some pretty steep hills. I don't like to walk farther than I have to, last year I only had 1 deer run after I had shot it, and it didn't go any farther than 30 yards before expiring. The other 3, including a 210lbs+ 12 point buck and a very large doe, dropped at the crack of the gun. I'm sure just about any other hunter or shooter with a 7mm Mag could tell you that they're satisfied beyond expectations with their rifle, no matter the make. Just my 2 cents worth.