For strictly whitetail deer and hogs I wouldn't look to any of the magnums. Yes they are very effective deer medicine they aren't going to kill deer any deader than other "standard" cartridges.
My choices would include the .243 winchester, 6mm Remington, 257 roberts, 25-06, 6.5X55 Sweed, 270 Winchester, 7mm-08, 7mm Mauser, 280 Remington. The .270 and 25-06 would be at the top of my list with the .270 being my first choice.
The Tikka rifles have never floated my boat at all. I much prefer the vanguard/ Howa rifles over the Tikkas. Howas are built with some very good features and are solid as a tank.
Howa has teamed up with Leupold this year and are offering scoped packages with VX-1 scoped already installed. This package should come in under your $700 budget easily and should be right about the $600 mark at most retail stores.
http://legacysports.com/newproducts/index.htm