I fitted a AI style mag system to my sons Howa to take 5 or 10 shot AICS mags, a little bit more tricky to fit than to a remmy.
If money is tight but you want some 308 fun I'd go with a sps varmint, fit a second hand wooden or composite stock. If the stock is purchased at the right price it can be sold for the same later if you want to upgrade. Practice with a harder trigger pull and see what can be achieved, maybe have the barrel re-crowned. Later bit by bit you can improve components and actually learn what each component will improve on group sizes or if the component is only bluff.
If re-barrel, I would not get the action blue printed, all remmies I had re-barrelled so far shot great without any extra work.
One can get a lot of enjoyment out of fettling with remmies. I wouldn't want a ssg or trg if it were for free.
edi