Here is my suggestion, don't go with any Savage as several good gunsmiths said their made out of junk, even if they shoot good out of the box. I bought my daughter one that cam with a cheap Bushnell scope and it was junk!!!
I would not consider the NEF or H&R rifles, as from the bench where you will set it on a bench rest of shooting bags, you can clean it if it a bolt or Ruger #1, but for the break open actions like contender and the NEF break open, you'll have to constantly mess with the rests!
I would recommend not buying a rifle until you have saved about $700 min to purchase a decent rifle with decent scope in .243 winchester.
To stay at $700, you would spend this way: Rifle bolt action, synthetic stocked HOWA Varmmit or lightening in 243WIN for $367, purchase a Bushnell Elite 3200 5-15x40 Adjustable Objective, Matte Finish with Multi-X® Reticlescape for $267 plus $30 for bases and rings=$674 + shipping and taxes*****I good quality used rifle with a heavy barrel in 243 would be good if you can get a qualified dealer to guarantee the amount of rounds through the rifle!
For an extra $200, you could buy a Remington Senderro in heavy 243 and stay with the same scope and that rifle will group < 1' with factory ammo!
To stay under $500, You rifle budget needs to be spent like this: Rifle, bolt action, synthetic stocked HOWA LIGHTNING 243WIN 22' BL/SYN $367 Scope, WTC18 Simmons Whitetail Classic 6.5-20x50 Adjustable Objective, Matte Granite $99 from
www.swfa.com and add mounts to fit for another $30=$497 + shipping and taxas.