TOS Kirk would have (fake) surrendered and Spock and Scotty and McCoy would have devised a device (!) to fake life signs of a Human. The Borg would scan and see that there were "Humans" ready to beam over, only to find - to the rising notes of the trumpets and coronets: DAAA DA DAAA DA DAAAA DA - BOOOOM!!! the matter-antimatter bomb sent to destroy them.
Or, if no budget that week, Kirk would have slept with the Borg Queen (girth and all) and the resultant child could be woven into future episodes/timelines/iterations/
Or, if no budget that week, Kirk would have slept with the Borg Queen (girth and all) and the resultant child could be woven into future episodes/timelines/iterations/