Probably the best bolt action rimfire available in that price range is the Savage MkII F. I saw this one at Buds for $162.
They aren't quite as accurate as the MkII varmint rimfires but they're very good. I love Marlins but I don't think the accuracy is on the same level as the Savages now. I do think that the XT series Marlins make excellent rifles for many reasons but they run around $200. I have the XT-22TR which I love because not only is it a very solidly built rifle and quite accurate but it also shoots shorts or LR's or longs too if you can find any. It holds 25 shorts in the tube which makes for a lot of shooting without reloading. I paid $200 for mine. If you want a rifle that will be around when you aren't this is an excellent choice. Still in your price range I think the Savages are the best choice. Mossberg makes some nice rifles but Savage accuracy has just been excellent in recent years and the AccuTrigger is worth the price of admission alone.