Not saying this is the definitive scope for your application, but something I'd take a look at. I do not have one, but although Simmons is considered a very inexpensive scope, their new "true zero" flex erector tube is quite innovative. It's light and small and in keeping with a quick handling lever action.
http://www.ableammo.com/catalog/product_info.php?products_id=81066
I have Nikons on my other primary go-to guns. I am assembling my 336rc as I right this (waiting for some stock finish to harden). I'm scoping mine with Weaver Pro-View Marlin mounts. They are low and use 4 screws per base to lock down the top ring, much like the new "Sure Grip" system. My 336 will be wearing a Weaver steel tube (from the El Paso days) 1.5x Micro-Trac. It's heavier, but hell for strong and uses a four point suspension that is as robust as they come. Micro-Trac was one of the toughest and most repeatable adjustment systems made. But I suspect that the Simmons system is equally rugged? Covered by a lifetime warranty?
The back-up scope for the 336 is either another Weaver 4x (I do have a pile of them
), or a really compact Apache 4x w/o turrets. Since nothing sticks out, it is easy to carry and smooth against you arm/hand while walking. Apache scopes are rare and a bit finicky about wet, but out here it's mostly dry 9 mos a year.
My point is before you go spending big bux on Leupold or even Redfield or something, grab a smaller lightweight scope and see if you like the idea/combination? Maybe you'll find it just isn't to your liking? If not, you are not into the test a lot of money and you can probably get more than 1/2 back on the 'Bay for the pieces and parts. All these options are pretty short tubes so they fit easily.
The 336 is pretty short between bases. You can get a rail that will spread out the bases for a longer tube, but it cantilevers the front base out in front of the receiver, so I stay away from that scenario. However, the rail will accept Leuplod QR bases if you want. I prefer a short tube scope that fits the base spread drilled into the top of the receiver.
If the scope thing does not work out, you can go to XS for their ghost ring system, maybe with a fiber optic "fire sight" front and get a long sight radius with good iron sight performance
And a 336 with Hornady LeverEvolution ammo is capable out to 200 yds, although you'll need a fair bit of practice to get that all dialed in