Why use ZIP disks at all? The amount of disks you need is too expensive and too time consuming to be economically feasible.
1 GB (four 250 MB disks) cost around 35 USD, that is 2,000 USD for the 57 GB.
There are USB sticks cheaper than that with 64 GB capacity (for 35 to 60 USD) or 1 TB HDDs in a USB 2.0 or 3.0 case (2.0 would still be faster than 228 disk in and out movements) for 50 to 70 USD.
Why use this method at all, when a USB 3.0 HDD would be nine times faster and take up only 1/200th of the space?
Assuming a ZIP disk writes with 20 MB/s, and that is a very favorable assumption, the 57 GB will be written in around 50 minutes, but due to ejecting the disk and inserting the new disk taking up time and space too, assuming that one exchange takes about 10 seconds (unmounting and mounting take some time too) and it is already formatted correctly (FAT32 will be okay), 229 disk exchanges will add another 38 minutes.
Then you have to label them, but them in boxes to store 9,400 cubic inches, which is the size of a bathtub.