Marlin x7 has several varients for $350 and less, savage has several varients, Remington 700 is good, howa is also good. Personally id go w a marlin or savage. Both are cheap guns made of great quality. I prefer marlins but that's just me.
Since a 243 is a necked down 308, I would find a lighter rifle in 308. If you could swing a Browning X Bolt in 308 or even 7mm08, you would not regret it.
My $0.02.