$250 puts you under the price point for a semi-auto, unless you find an outstanding deal or a fixer upper. An SKS might be an exception, and if you look hard, you might be able to find one there, but most I've seen on Gunbroker and locally are fetching $300.
Most guys I know can cycle a lever faster than a bolt, so a used 30-30 carbine might be the trick.
As for the bolt action, again, price point will be difficult to get a quality firearm. You might be able to find a Remington 770, which would be better than nothing, but quality is really not its strong suit.
Can you save up a little more and put the purchase off until you can get something more in line with what you want?