I know of two such Saturns.
Back in the mid 1990's, a NIRA member named Bob Wiersbe tried doing a 3 stager. His third stage electronics were armed only after second stage ignition. All the engine stuff worked fine, but the weathercocking with each stage meant the 3rd stage was pointed down at ignition, and the chute did not come out before impact.
The second model worked better. Here's the writeup from the November / December 2005 edition of Sport Rocketry:
"Peter Bricker’s well-executed Estes 30th anniversary edition Saturn V took fifth in static. But it was the insides that made the model special. He clustered five engines in the first stage—a D12-0 in the center and four B’s for the outboard engines. While the B engines would eject parachutes, the D was to ignite a second stage engine across a nearly 2-foot gap. Assuming all the clustering and staging worked, the second
stage would ignite a third. This ambitions plan would be carried out without any on- board electronics."
. . . . .
"The highlight of scale flying, howev- er, was Peter Bricker’s Saturn V. Peter had flown his cluster-stage combination before, and was confident it would function, ex- cept for the second stage parachute, which relied on the tug of a Kevlar line hanging off the rear of the third stage. Dozens of NARAM contestants gathered around to watch this flight. At ignition the specta- tors clearly saw five yellow flames. On cue, the second stage ignited. Then the third. Whooshhhh-Whooshhhh-Whooshhhh! The sky was full of Saturn stages, all on parachutes. Finally, the third stage ejected the Apollo capsule, which came down on three scale-like striped parachutes. Even the escape rocket came down on its own streamer. The crowd cheered, and 175 mission points propelled Peter’s Saturn V into first place."
A dark night in a city that knows how to keep its secrets. But high above the quiet streets on the twelfth floor of the Acme Building, one man is still trying to find the answers to life's persistent questions. Guy Noir, Private Eye.