Good basic rifle, very good reviews- here's one- Stevens 200 Rifle Review | Big Game Hunt
Good price. I would go for 30-06, just because I can FIND 30-06 ANYWHERE. The 7mm is overkill for deer, and the synthetic stock is going to flex under that much recoil. (Actually, I would go for .308, but that was not a choice you listed)
300 yards? Considering that MOST hunting shots are standing offhand, you're pushing the envelope. I am DAMNED good from a benchrest- but usually do not HAVE a benchrest when hunting (Well, there WAS the suicidal buck that walked out onto the range at the 200 yard marker...) Whatver range you can hold ALL your shots in a 5 inch circle, using whatever position you will shoot from- that's your limit.
These rifles do not have the Accu-trigger, and could benefit from a better trigger, but for a basic deer rifle, they are pretty good. The MSRP on these runs about $300, so $179 looks good.