I have an H&R SB2-D30 rifle in .308. I bought it at Dick's several years ago NIB with a generic 4-12x40 for $169.99. I have replaced the scope with a Cabela's 2.5-10x50 30mm scope from the Bargain Cave, but that is it. It shoots into 2" at 100 yards with good ammo and 4" all day with off the shelf Wal-mart ammo. (Winchester Super-X, Federal Power-Shok, and other budget loads.) H&R is out of business, but the rifles are still out there. The prices are going up on them, but they are still managable. Mine has become one of my favorite rifles. I also have an NEF Handi-Rifle in .223 that shoots just as well. One of these in .243 would be a great starter rifle. The Rossi single shot rifles have a good reputation too.
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Gun Broker has several H&R and NEF rifles at various prices with and without scopes.
Thanks