This is a sentimental subject. My father served on board another Haskell-class attack transport, the Bollinger, APA-234. I remember vividly when the kit came out, back in 1956. The family made a pilgrimage to the local hobby shop in Columbus, Ohio to get one. The building of it was entrusted to my older brother. (I was six years old at the time, and had recently desecrated my own first model - a Revell DC-7.)
The book Remembering Revell Model Kits, by Thomas Graham (which, incidentally, I highly recommend) confirms the initial release date of 1956 and says the Randall was picked as the subject in part because she'd starred in the movie Away All Boats (essential viewing for anybody interested in attack transports) a few years earlier. Graham lists the scale as 1/376 - typical of Revell's "fit the standard-sized box" philosophy of the era.
We're talking here about a really, really old kit. It appears to have been about the ninth ship Revell did, and it has most of the characteristics of the era. The 20 mm guns (or vaguely recognizable representations thereof) are molded in with the decks, there are solid "railings" cast around the deck edges, and the hull is in the odd "semi-waterline" configuration that Revell used for several kits at that time. The hull is flat on the bottom, sliced off a few scale feet below the normal waterline - and, for some reason, mounted on the same sort of trestle-like stands that Revell used for its full-hull models. Part of the explanation for this oddity may have been that the underwater lines for some of Revell's subjects (e.g., the liner United States) were still classified. At any rate, some of those vintage Revell ships had full hulls and some were waterline models - and the company didn't mention either point to its customers.
A few years later (I don't have the date) Renwall started a series of ships on the constant scale of 1/500. These kits look pretty antiquated now, but they were somewhat more sophisticated than the Revell ones. (They had individually-cast 20 mm guns, for instance - and honest-to-goodness full hulls.) Most kids I knew got enthused about the battleship North Carolina and the Essex-class carrier (which went head-to-head with Revell's), but the line also, remarkably enough, included a Haskell-class attack transport. I remember building it several times as well. Renwall also did an attack cargo ship. I haven't seen either of those kits for years.
Bottom line: the Revell kit was great for its time, and attracted some public attention to a phase of World War II that otherwise didn't get much, but it can't be described as up to current standards. Like most vintage ship kits, it's capable of being turned into a nice model but doing so would require a great deal of work.
At least one of the small specialist firms makes a Haskell-class APA in 1/700 scale; I've seen a review of it on the Steel Navy website, and it looks beautiful. An APA makes a fine model subject but a rather demanding one, with an enormous amount of rigging (think of all those cargo booms) and a great deal of repetition (think of all those boats). I believe a good set of drawings is also available from The Floating Drydock.
Hope this helps a little. Good luck.