I'll take you up on that challenge. Without knowing much about this particular pinball or driver board, it is much less demanding than - say - drive a 3D printer (3 steppermotors, LCD display, Serial I/O, monitoring switches, heatbeds etc.)
Now I see that you're most likely right, so I can't accept your challenge. 
It is probably possible with an Uno and some workarounds (multiplexing, shift registers...), but it's going to be quite easy and straightforward with a Mega. I thought that this "blinking without delay()" was some low-level special coding, but now I see it's uncomplicated with the standard function millis().