You can build a half-minute Savage with an aftermarket match barrel and stock for under a grand that'll blow away the accuracy of any AR-15 for the same money.
For equivalent dollars, bolt guns will always be capable of better accuracy.
That's just the nature of bolt guns vs. semi's.
Mosin-Nagant Custom Shop/Bent Bolts
Gun-Kote/ Cerakote Refinishing
Criterion Barrels/ Savage Re-Barreling