I need a custom LED strip made where the LEDs are a specific spacing
You are not going to find that unless you have several hundreds thousand dollars to spare, I assume you haven't.
You can get a chip that will control 100 LEDs but it will cost you about three times more than buying 12 shift registers and is considerably more difficult to control with an arduino. This is the MAX6954, google for the data sheet.
An other alternative is the shift bright
While cheap once you multiply by 100 it gets expensive.
If you want cheap and simple then use shift registers.
How long is this LED strip anyway? High speed digital signals have difficulty traveling several meters.