It's very unlikely that the color videotape exists. By one scholarly survey, only 21 color videotape shows have been saved from the 1950s. No Perry Como shows are on that list, though though the list is not considered exhaustive. Who knows what's hiding in the basements of corporate sponsors, attics of stars' homes...
It was difficult to make a color kine of a color show that looked good.
Videotape was not seen as an archiving medium; it was originally meant as a re-transmission medium, for time delay. So the tapes (about $300 dollars per, back then) were used again and again, as an economy measure. Jeff Kreines wrote in The dawn of tape:transmission device as preservation medium:
"Another force working against videotape as a medium for long-term retention arose from technical issues of the time. For one, the earliest videotape recorders put into use by the networks were, in fact, prototypes. As such, their hand-built record and play- back heads were unique, and not compatible with one another-a tape recorded on one machine could only be played back on that machine. If a show had to be held for a long time-say, five weeks, when Arthur Godfrey went on vacation--CBS stored the heads with the tapes and hoped for the best.
Yet another critical factor in the disappearance of the earliest television tape material lay in the tape itself. From the start, two-inch quad tape proved very difficult to manufacture. "The establishment of sources of supply for video tape has been a bit of a problem--to put it mildly," wrote CBS's Howard Chinn in summer 1957. In addition to requiring much higher tolerances than audiotape, videotape was subjected to much greater physical stress. The video heads that rotated at more than 14,000 revolutions per minute, with pressure on the tape of approximately a thousand pounds per square inch, tended to remove small amounts of the binder that held the oxide particles to the tape. If enough of this binder built up on the drum on which the heads were mounted, the tape could be cut in half as it moved past...
It wasn't just that the networks could tape over programs--in the early years, they often had to, if they wanted to take advantage of what videotape had to offer. The very quality of videotape that can make today's archivists despair-its reusability-was perhaps its chief virtue to early users."