It depends on what you like. I have an Ultra Varmint in 223 and I have 2 Stevens 200s in 223. Both of my Stevens have been highly modified and I have converted both to single shots. I really did not give them much of a chance to prove them selves. The first one, I shot a little bit and got average results, but to be fair, I did not do much load development with it and did not like the trigger at all. Then I saw Midway had a heavy fluted stainless barrel in 223 with an action wrench on sale for $99. I ordered it and a Rifle Basix trigger. After installing the heavy barrel, I had to open up the barrel channel on the stock and it looked mighty funny after that, so I ordered a Boyd's stock for it. I then ordered a bolt and recoil lug through SSS and the next thing I know I have a tack driver, but not exactly stock any more. I then bought a second one and did not even give it a chance - I never put a shot down the barrel, it was pulled and another barrel put on, new trigger, new stock, etc. Both had single shot trays put in. I just like single shot rifles

I think the accuracy potential for a stock Handi and a stock Stevens are on par. If you start adding triggers, stocks, and barrels to the Stevens you will get better results from it than a Handi - but you will have more money involved. If you do a trigger job on the Handi and buy an after market trigger for the Stevens you are still about even. On the Handi rifles I have bought, the stock trigger is better than the stock trigger on the Stevens. I think it comes down to how much tinkering you want to do and/or how much money you want to spent after the initial buy. If you do not want to spend extra money after the initial buy get the Handi - just about all improvements (if you need any at all) are very low cost or no cost. On the Stevens, if you want to improve on it, it will cost you more money. I really think it comes down to which style you like best. The Handi rifle has grown on me; the more you use it, the more you like it. Like has been said above - get both. Good Luck and Good Shooting