I can't comment on the Browning or Cooper, but I would look at something other than a Finnlight.  I have one that had to be turned into a custom due to a bad barrel and crappy stock.  The recoil lug design is sketchy at best.  It works, but only after I threw the action in a McMillan and had it glass and pillar bedded.  Of course, Beretta said it was just fine after sending it in and charging me for an evalution.  The soft touch stock is soft and too flexible and the coating will come off if you actually use it.  The barrel was too muzzle light and was difficult to hold on target for such a light rifle.  I also had to replace the barrel, which is a challenge, because most gunsmiths won't work on Sako 85's.   
I realize that every maker has bad apples.  However, after going down the road of solving the issue for over a year, I learned a lot about the design of the rifle.  You don't get something for nothing and there is a reason it's so light.  
My rifle is accurate, well balanced, and handles well now.  However, it cost almost twice more than the initail purchase price to get it there.  I didn't dump it on someone, because I couldn't sell a dog to someone else and sleep well.
It's your call, but I would at the least do a little research on Sako 85 issues.  If you go into it with eyes wide open and an open mind, you may be surprised what you find out there.
Good luck.