Savage Axis is a good rifle for the money. Weatherby Vanguards are discontinued, so you can find one for cheap probably.
I'd rather have iron sight on that rifle than that scope and ring package. The rings are probably junk too. That scope looks pretty high up from that picture. For better long range work, you need a good fit of the gun to your face. you'll need to put something on the stock to raise it up, probably about 1/2" of material.
Burris fullfield II 3-9x40mm scope roughly $150.
Leupold twist-lock rings and base or even better burris signature base and rings 50-75 bucks.
$225 for a scope and ring package that you won't regret buying
4-16x scope is really pushing optics there. Good lenses are only good in a certain portion of the glass, trying to make that pacvkage work in those ranges, something is going to give. Low light repsonse is definitely one. Resolution quality too, the ability to discern between 2 small objects next to each other. Basically you loose detail. That is just too much scope for hunting or utility use. The more I use scopes, the less magnfication I like with them. I want to see whats around me, rather than see real close what happening. Aim for the right area on something it goes down. Don't need to see it that close. Usually, looking too close makes the shot placement not as good, atleast for me it does.
I wouldn't even get that package and put the scope on a rimfire.
Don't discredit .30-06. Same relatively affordable ammo prices along with .30-30 and .308. However, .30-06 does the job a touch better too.
I reload, so I look for the gun model I want, then find a real good deal on whatever caliber I can work with. .243, .260 remington, 6.5x55 mauser, 7mm mauser, 7mm08, 300 win mag, 25-06, .270 win, 280 remington. All do the same basic job on whitetails, black bear, coyotes, for the most part elk, and any 2 legged varmit. If you got some big brown bears like some parts of the lower 48 do, like the big national forests. .30-06 would be the littest thing I would take with me, 180gr bullet. I'd much rather take a 35 whelen, 338 federal, or 45-70, 44 marlin, or 450 marlin for closer range work. I'd take them for elk, whitetails, mules, antelope, or blacktail deer. When field dressing the animal, a big bear can smell that for miles downwind and come struting in at pretty much jogging speed to that smell.