Yes the Stevens 200 is a Savage 10/110 action, aftermarket parts will interchange. There are stagger feed and center feed actions, won't matter for the triggers, but it will matter for the stocks. All the long actions are the same action screw spacing, but there are 2 different short action spacings. These are usually referred to by whether it is a center feed or stagger feed magazine.
The Stevens stock is kind of crappy, it's pretty flexible in the forend, and you can easily move the forend around and touch the barrel with it. Plus they don't trim any of the casting flashings off the stock when it comes out of the mold, so you'll have sharp edges and corners everywhere.
The factory trigger sucks. They are very stiff, and rough out of the box. Loads of creep and a very heavy pull.
I have one in 223. Mine is still absolutely box stock. What I have done to mine is to use an X-acto knife and some sandpaper to get all the mold flashing off the stock, which took me about 20 minutes of trimming and sanding, now no more sharp edges. I also used a set of small stones and stoned the trigger and sear on mine. I didn't take enough off to change the angles of engagement, but merely to take the burrs off the metal from where the 2 pieces mate together. These parts are stamp cut and are rough on the edges. My trigger now breaks at about 4 pounds, but is now a clean break.
Here's how mine shoots with my pet handloads:
That's 5 shots at 100 yds from a cold, clean barrel. It took some time to find this load, and some of the factory stuff I tried shot terribly in this same rifle.
Yeah, they'll shoot.