...A tool which made it go much faster for me and made the whole project palatable was an old Dremel hobby tool, one of the single-speed models which needed to be plugged into Dremel's speed controller (a purpose-made rheostat) which slowed the drill bits down to where they would not melt the plastic. By not having to manually turn and twist a pin vise (vice, if you're Canadian...grin), you break far fewer drill bits since you can hold things much steadier. And since we're talking British here (and Canadian) I'll just say Good Show, Eh?
I have such a combination, but I've been unable to find a fine enough chuck to hold those tiny #78 drill bits. I'll keep looking. Actually, I've ordered carbide bits that have a ⅛ shank, that will solve the issue - when they get here. I also found that #77 bits are considerably stronger while only being .002" larger and the larger holes, which I've drilled in the outer rim only, with spokes inserted can be filled by CA glue.