I own the 6.5x55, 6.5 CM and the 7mm-08 and they are all great cartridges with very good performance, usually underrated by those that have never used them, with tolerable recoil for those that are sensitive to it. I have more shooting experience with the grand old Swede than I do with any other centerfire cartridge
I own a LH Tikka, a LH X-Bolt and others from several other manufacturers. While I like the Tikka, I do prefer the Sako's, but they are definitely more pricey. I too, would love to find a stainless, laminate Tikka in LH, but I have never seen one.
My current Swede (4th rifle in this chambering) is a LH Model 85 Hunter and it is a beautiful rifle and is very accurate with factory ammo, including the Nosler 140gr AccuBond load. I like it so much that I bought a matching rifle in 9.3x62. The Nosler AccuBond is my favourite hunting bullet! Have been successfully using it since it first came out.
My 6.5 Creedmoor is a semi-custom Browning X-Bolt. I bought the Browning X-Bolt All Weather LH (stainless laminated rifle, now discontinued) in 7mm-08 and rebarrelled it with a Benchmark barrel. It is also very accurate with factory ammo, including the 140gr AccuBond and 143gr ELD-X loads. While it may be hard to locate a LH X-Bolt All Weather, there are still some sitting on the odd gunstore's shelf or can be found used. They are a great rifle and I am really liking mine! Recoil is tame, it is attractive and the trigger is nice.
The 7mm-08 I have is a rebarrelled Winchester Model 88, while my wife's is a Steyr Mountain Classic. Haven't had much time to play with mine yet, but hers shoots the Nosler 140gr AccuBond ammo into sub-MOA groups. The handload that it likes is a 140gr Sierra Pro Hunter that will shoot 1/2 MOA groups for her.
There are 155/156gr loads fro the Swede and 150/154gr loads for the 7mm-08, and for handloading, there are 160gr bullets for both cartridges. For the longer shots, I would choose the 140-154gr loads. For elk, moose, bear and deer in the thick brush, any of the loads will work. Just find the one that your particular rifle prefers!
Both the 270 and 280 are great cartridges that provide more reach and energy due to increased velocity by burning more powder. It does come at a cost of burning more powder and has more recoil, but for the average shooter is still tolerable. Both have proven very effective on game for years. Of the two, I prefer the 280 Rem.
Yes, muzzle brakes reduce felt recoil, but are noisier than hell and will reduce your sight picture by blowing dust, grass, leaves or snow around at the shot. And most people also flinch as much from the noise of a shot as they do from the felt recoil. I personally do not like, nor will ever have one on my rifles. But that is just just my opinion.