92KK 84WW Olaf
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We have all broken one at some point so you shouldn't beat yourself up over that, can happen anyone. At least it means its not an engine related problem. Going back to the Lambretta, as a two stroke and cast iron liner the characteristics are so far apart it would not be a wise move. Most brick engines never get rebuilt and you don't want to be stripping that one out again.
A bit of shopping around might find an alternative price, or someone here might have a set of rings lying around. But check on your bores, are they standard? As far as I know the very early pistons allowed the rings to rotate freely, they didn't have the little stop that's in all 2 strokes to stop the ring moving around on the piston and catching in the transfer ports. On the K this allowed oil to get past the rings when the bike was parked on the sidestand. I believe later ones do have this as a means of reducing the blue smokey start up. I am not recommending putting in a used set of rings but I would have more faith in that alternative than using the Lambretta option.
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1992 K100LT 0193214 Bertha Blue 101,000 miles
1984 K100RT 0022575 Brutus Baja Red 578 bought 36,000 now 89,150 miles
1997 K1100LT 0188024 Wotan Mystic Red 689 58,645 now 106,950 miles Deceased.
1983 K100RS 0011157 Fricka 606 Alaska Blue 29,495 miles Damn K Pox Its a Bat outta Hell Now 58,200 miles.
1996 K1100LT 0233004 Lohengrin Mystic Red 38,000 miles currently 51,800 miles.
1983 K100RS 0004449 Odette R100 colours 58,000 miles. Sprint fairing now 63,390 miles
Past:
1968 Yamaha 80 YG1
1971 Yamaha 125 YAS-1
1968 Honda 125 SS
1970 Honda CD 175
1973 Honda CB500-4
Honda CX 500