Mike:
My experience with Summit, like most other national auto parts businesses, is that they can order most anything if you know the part number and the company is someone they already do business with. If it is someone new, they (or most others) won't go to the expense of setting up the account for just one order.
Now with respect to part numbers. Really need to know the piston type and size. If it is an original stock motor in STD bore, then there are a number of piston ring options. Hastings, Deves and Federal Mogul/AE are a few. Hastings and Federal Mogul/AE are OEMs. Deves looks to be primarily a re-packager now and most of the British A-series ring packs look to be a mix of AE compression rings and the original Deves 4-piece oil control. Some of the compression may be Hastings depending upon availability. My preference is for the US made Hastings. Second is the FM/AE. I prefer the Hastings 3 piece oil control to the single AE oil control. But racing both. Other people like the Deves. All work fine if properly installed and the correct finish is put on the bore and the bore is not excessively worn or tapered. Too much ring flutter occurs if the bore is out of taper. Same goes for pistons. Carefully inspect the top ring land on the piston. It often opens wider with wear and time. You can get by with up to .008" gap. Stock gap is down around 1-2 thousandth. 8 is past the wear limit, but it can be used with a 4 ring piston. You are just taking a chance with breaking a ring if you use the engine hard.
I don't have my catalogs in front of me just now, but the Hastings part numbers are 2C6802 and 6802 for the 1275. The difference is that the 2C is the prefix for a top chromed ring. These are STD bore size. The oversizes have a +(size like 020/040/060) behind the number. With a bone stock engine, the ring end gaps could out of spec due to wear.
Check out a local machine shop. Most of the time if they are associated with a auto parts chain (NAPA,CarQuest,etc.), they can order what you need. If they are independent, then they can probably order it too or tell you who handles a complete line of parts. Besides, you will probably want to get the engine block cleaned, honed and crack checked. Maybe surfaced too. The machine shop can also tell you the amount of wear on the bores and if there is a ring ridge that should be removed.
And if all else fails, let me know. I keep rings and other parts on the shelf for my various engine projects. Might have what you need.
HTH,
Mike Miller