To answer your question, each invoice from early 1957 to late 1958 would have to be examined to determine how many 44 Magnums with a 4-inch barrel were shipped and if they had a 4-screw frame based on the serial number (many invoices prior to 1958 did not list serial numbers). So, while the number of 4-inch 44 Magnums shipped can be determined, it would still be a guess as to how many have a 4-screw frame as both 5-screw and 4-screw guns were shipped in the first half of 1957. The process of looking at the invoices would also be very time consuming.
Bill