The Sako's are great rifles! Very smooth actions and accurate rifles. I have 4 now (all left handed), in 6.5x55, 7MM STW, 30-06 and 9.3x62. Two are older models while the other two are the new Model 85's. I have not experienced any of the ejection problems that others have experienced or are referring to, so it may be certain cartridges in certain action lengths; as mine are all long actions it could be why I have not experienced these problems. Many of the newer Sako's have very nice wood.
I have over 10 custom rifles (mostly because I am a lefty and like many cartridges that are not standard production) and I believe that the newer Sako's at approx $2500 are a very good value compared to building a custom rifle today. A nice, used Sako for under $2000 (and can be found as low as $1200 for an earlier production model) is even a better value.
The WSM's do have a feeding issue and the magazine follower must be machined to allow the short, fat case to feed into the chamber without binding. Winchester/Browning learned this quickly after introducing the WSM's in the early 2000's. With a WSM rifle that has the feeding issue resolved, I would not hesitate to purchase either a 270, 7mm or 300 WSM; they are very good cartridges that perform very well, and produce less felt recoil than their standard counterparts as they provide the same performance with about 10% less powder due to a more efficient case design. Still have a custom 300 WSM. Sold my 270 WSM as it wasn't a lefty.
It sounds like in your area, cartridges such as the 6.5x55/6.5 Creedmoor/260, 7mm-08, 308, 270/280/30-06 are going to provide you with the performance that you will need for your intended game (except where the caliber restriction applies). All will cleanly harvest deer, moose and bear with well placed shots inside 200 yards, or further (300 yards) in the event of hunting larger openings or fields. Moose and black bears are not overly tough animals to harvest cleanly with common cartridges of less than magnum performance, especially at shorter ranges. And your moose are not as large or heavy as the northern varieties found in western Canada and the far north.
Lots if used 270's simply because it is a very popular cartridge. In the 270, I prefer the 140 gr bullets just because it is a good compromise of weight, velocity and BC/SD numbers that will provide flat trajectories and penetration, even for the longer shots.
In any of the above mentioned cartridges, a good cup and core bullet, such as the Nosler Partition or AccuBond, in weights from 140 to 180 grains, will provide all the performance that you will need on the animals you mentioned. Other factory loaded ammunition from Remington, Winchester and Federal, with bullets such as the Corelokt. Power Point, Uni-Cor or Fusion will also do well on those animals at those ranges. As always, bullet placement is key.
In Sweden and Norway, they harvest more than 100,000 moose a year with the good old 6.5x55. It is a very nice cartridge to shoot, very accurate, and outperforms what its paper ballistics figures would have one believe.