Just going back to your original post and re-reading it, I've a couple of things to say.
You say you have budget for only one rifle, but I'd recommend you buy yourself an inexpensive 22LR if you can, and shoot it plenty at the range. Cheap practice. Preferably one that is easy to put a scope on, even if its just a single shot. I have an old BSA Sportsman that is more accurate than I am... but not easy to add a scope, so look for a 22LR with dovetail grooves. You can pick up a half decent older 4x scope for no more than $50. I've got a nice japanese-made Tasco 6x that cost $50 for example. Probably better to try and buy off the forum than somewhere like GC, as who knows what you might get for your money.
You mention hunting on the tops. A 308 with 20" barrel will give you higher velocity/longer range than one with 16" barrel with factory ammo. In a break open single shot it will still be a short, packable rifle with suppressor removed. From memory my H&R Handi rifle in 308 has a 22" barrel and is still shorter than any bolt action I own. And allow for a suppressor, it makes anything much nicer to shoot! Get a half decent lightweight scope, something like a 3-9x40, plenty of good 2nd hand ones around, don't worry about trying to dial, as maximum point blank range will still be something like 250m with a 308 sighted in 3" high at 100m, and you probably don't want to be taking 300m+ shots until you are really comfortable and competent with your gear.
I'd be interested to hear if anyone has regretted buying a single shot break barrel rifle? Of course there are some that are crap, but I mean if it shoots ok?
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