Your list is somewhat subjective... Bolt action, I would assume, is a reach-out-and-touch-someone gun (30.06, 7mm, etc...). Semi-auto *could* be that too, but is generally a close to mid-range gun in my mind, where one might need to pop off several rounds quickly...
Considering brush and whatnot, I would prefer a Marlin Cowboy .45/70 lever action for a mid-range saddle/mountain/brush gun over anything else. Lever-action is more reliable, and quicker than a bolt... And .45/70 is a big honkin' chunk of lead at a low velocity - It doesn't bounce, or deflect, and will knock down just about anything you throw it at.
Get yer lever-action and revolver in the same caliber to reduce the need for several different types of ammo.
I have (until the accident) a Marlin 1894 and a S&W 629 both chambered for .44 Spl & .44 Mag.