OK, I guess I'll address the accuracy problems first. He first #1s had contract barrels, first Douglas for a short time, the Wilson. Those rifles had red pads. Ruger finally started making their own barrels and accuracy problem seem to have gone away from those I have talked to about it.
I have a few Ruger #1 rifles ranging from .22 Hornet to .416 Rigby. All mine are red pad guns BTW with prefix serial number so all have Wilson barrels. Some are quite accurate, some not so good and a few are out and out dogs that I'm still fighting to get decent accuracy. FWIW, the two dogs are both #1Bs in 30-06.
The B models other than those two are quite accurate. I have two B's in 25-06, one a tack driver and the other a shotgun. Go figure.
Probably my favorites are the #1A in 7x57 and a #1S in .300 Win. Mag. The 7x57 was so bad with a throat so far out of spec that it had to go back to Ruger for repair. When it came back it had a new barrel and shoots anywhere from .75" to 1.25" depending on the load. I have here in .300 Win. Mag., a B and two S'. The B and one S are sub-MOA guns with my pet load, a 200 gr. Speer Hot-Core over a stiff load of WMR, now long discontinued powder. The second S model has not yet been shoot, a 200th Year gun. I just have to mount a scope and shoot it one of these days.
I hunted with thee rifles for years but not in the last five. Due to bad knees I hunt on a private ranch that caters to old geezers like me that have health problems like bad knees or like my partner that has had open heart surgery plus. the ranch does not allow single shot rifles, as does the outfitter who handles the hunts.
I've done four hunts in the last five years, brought sown four elk with one shot each. It's beyond me why I can't use my #1 on the hunt.
If the OP decided to go for one, and has problems I can probably give some answers regarding the problems. I've come across some new ideas for those two recalcitrant 30-06's and just have to find the time to get it done.
Paul B.