I have done this with batches of 300. The trick is that we used a roll of RC going through a machine-printer (usually used for RA4 enprints) and processed the roll through an Ilfospeed dry-to-dry processor.

What do you call a "large" number? And is there any hand-work needed? And is the required paper RC or fibre? Generally, roll paper and an Ilfospeed would be the way to go, but I realise that labs these days probably don't have optical machine-print systems for the paper exposure . . . Would printing on RA4 paper work for the result you need? That would require some testing, to say the least.

EDIT: This was 25 years ago....