RE: new gun
I think that a .243 caliber would work great for deer and coyote, but not really a true classic brand/model in that caliber that stands out. If you were looking at just a classic rifle for deer hunting a Marlin or Winchester levergun in .30-.30 would fit the bill for closer range shooting. A good .243 from Remington, Savage, Ruger, etc...would be a good target and hunting rifle for your needs. Good luck finding what you want, as there are many options.