Mastinson;
There are a lot of possibilities open to achieve what you want. Do you want to build it yourself, or buy it ready-made?
If the idea of building appeals to you, you've already got the most buildable base gun in your hands. There's more stuff available for the 10/22 than any other .22 on the market. Or, if you really like Rugers, there are several bull barrel & bull variations that are made for the 77/22.
Both CZ & Anschuntz will have ready made guns that'll fill the bill. Anschuntz can also provide left hand bolt guns if you need one.
Savage also makes a nice little .22 bolt gun. I've got one at this time. It's not my most accurate .22, but the price is very reasonable comared to the money I've sunk into truly gilt-edged guns. It's probably my favorite plinker at this time. I did find it profitable, in terms of accuracy, and fun to tinker with it.
Hope this helps. 900F