I've hunted up and down the E.Coast. GA, SC, Conn.,MA, ME, and N.Brunswick, CA.
Either the .30/30 or .35Rem will do nicely.
No, they don't "buck brush" any better or perhaps as good as an '06 w/220gr bullets, or a 7mmMag w/175gr bullets. Or .45/70 or whatever.
However, the bullets loaded in the cartridges are optimized to the game and distances and velocities that you'll be hunting.
The rifles handle exceptionally well; pointing, swinging, and carrying well due to the ideal balance and short length they have "evolved" into.
I've got nearly 30 rifles suitable for the game you'll likely be hunting, but when faced with the choice of what rifle will go "hunting" on the next day, I usually take one of the Marlin levers in the aforementioned caliber. Especially if I'll be "still hunting" (a walking-stalking type of hunting) as apposed to hunting from a stand or shooting house over a "bean field" or cut-over, power-line ROW, or what-have-you. (For those I have another "variety").
I prefer a low power scope for picking out the "ears" and antlers through the brush and "threading" the shot through the openings; hence I favor the Marlins.
I think that if you went with the new Marlin .308MX in the 22" blue iteration and perhaps a Leupold or Nikon 2x-7x scope, that you'd have the best of both worlds. (Sorry, I DON'T like the BLR due to it handling like an off balanced 2x6).
A close second, and a preference if walking up on "food plots" in open woods is my Remington Mod7 in 7mm08 with a Leupold VariX-III 2.5-8x scope. It's quick to the shoulder, more than adequately accurate and powerful for any N.American use. It has a bit more "reach" than either of the two "Levers". My best friend killed a 1,200lb 6x6 bull elk with the rifle in '05. I too have a Rem Mod-7 in .223 that has killed more than it's fair share of whitetails. However, you'll be more than pleased with either a 7mm08 or .308wcf. Sorry, I ain't a .243 fan! (long story; as in 25yr career as gamewarden looking for deer wounded by .243's- a Loooonnnng story, at that!).
Good luck with your "choosing". I'm still trying "options" after 40yrs. Thats part of the fun and attraction of shooting and hunting for me.
(BTW; a friends son just killed a "whopper" of a 10pt buck with an SKS I sold him that I'd "cut down and trimmed up"; so those will work too!)