i would look at 3 the cz will not only be super accurate, with a set trigger, but it will be a lifetime rifle, one who's beauty you would be proud to hand down to someone. that is for a mag fed bolt. Now for a semiauto, the marlin mod 60, has been made in about a million diff configurations, but you will allways recognize them , however they are disguised, with that same square auto bolt, and that long tube feed. For a 100 dollar rifle, they are about as accurate as you will get , out of the box. But don't get a new mod 60, go to a gunshop or a pawnshop, and get a used one for between 50 to 100 bucks, also if they say Glenfield, it is the same as marlin usually with a squirrel, acorn, bunny, or coyote, engraved into the stock. Same rifle.Just make sure you know how they work, or take someone with you who knows; a gunshop will know if it is allright or not, a pawnshop dude has no idea, but you will get a better price there.
Avoid the ruger 10.22 , I have one, and they are great, after you do some modification to them. I do not consider them a beginners rifle, more for someone experienced with 22's, and good with tools.
For a cheapy bolt, with a synth stock, the best deal going for a long time is the marlin, 81 series, now called the 981, it is a bolt action tube, fed, that will fire short, long. and long rifle ammo, the tube will hold about 25 shorts at one time, which is totally sick!!!! And accuracy, it is a marlin no brainer. \
Dont overlook savage as well, they are world renowned for accurate bbls, but their stocks, especially the synthetic ones, can be a bit gross and mushy.
so if you find a wood stock savage, with an accutrigger, jump all over that one. Also their semiauto, bottom of the line 120 dollar job, with those brick heavy mags, and that Schnabel type forend, is quite accurate, and comfortalbe to shoot, offhand. Wally world use to sell these for 100 bucks , everyday.
Cz will be the most, and also the best , of all these rifles for under 300. but I would have ho problems getting any of the others, especially if i new i may beat them up a bit.
for a lever, any winchester or henry will fill the bill nicely, actually so would a taurus, but those may be a bit harder to find.
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Well, that means you'll spend $95.00 on the rifle if on sale, and over the next five year, somewhere north of $3,000.00 for ammo. Yes, exaggerating. Get any American-made .22LR and be happy.
Okay, okay...buy what makes you happy then. 
