No, the 91/30 is cheap, but until you actually get yours out to the range you won't know how accuratte it is. That's not something you want to just drop down 70-100 dollars per gun on the off chance that it'll be accurate. Ontop of that, you'd have to handload to be somewhat accurate.
Next, I wouldn't buy a Sporterized rifle if you held a gun to my head. You can get a standard 1903 from CMP for about 400 bucks. You'll have to clean it up, but it will be a tack driver. You can buy one from not CMP for roughly 600-1000. The upside of this is it's easy to buy quality loads.
A mauser would be a good choice for accuracy, but you will have to do some shopping to actually get a K98k for under 200 bucks in good condition. Ontop of this, you will have to either hand load or buy quality loads to be sort of competitive.
The enfield is another good choice, but has the same problems and advantages that the mauser has. You can find some decent loads, but they'll be a little more expensive.