Ive tried "Scouting" a number of guns, and not with a lot of success, or what I felt turned out successful.
I tried a couple of Winchester Trappers, and found adding all that junk on top, just took away from the guns natural handiness. I much prefer them with a simple Ashley/XO ghost ring on them, and an old K98 sling.
While the little lever guns are handy, I personally think they are a little fragile for hard use, slow to load, and limiting in what you load them with.
One Ive always wanted to try, and may try and make it a lay off project for next year, is one of the "straight bolt" Mausers in .308. I always found the straight bolts to be the quickest and easiest to work, and very handy to carry (you can actually open your grip and the rifle will hang off the back of your hand by the bolt handle). Plus, they have a stripper guide built in, and Im a big fan of stripper fed bolt guns.
Another couple Ive done that most wont consider a "scout", were AR's and AK's.
The AR's can actually work real close, as you can get a Ching sling on them, and these days, with the railed handguards, a true, forward mounted scope. At the time I was trying it, that was lacking.
I actually prefer the AK for this, even though the Ching sling isnt real feasible or even desirable. I tried both scope and red dot on them, and prefer the red dot over the scope (thing goes for the AR's as well). Its a lot more natural to shoot with, and allows you instant access to your irons if the dot should for some reason go down. The dot is plenty for the 300 yards I consider the max range of the AK's and AR's to be.
Not true Scout's, and I know the purists will scream, but I still think they can fit the bill as well, if your a little more open minded to the idea. If you stay fairly simple (which is really the way to go anyway), both can remain light weight and handy, and are both very shootable.