It seems I'm a little late to the voting party. I just want to add this though.
I wouldn't want to keep the swap open, at least for new mined old 42 coins. But I'm not sure it would affect the market value. There will still only be 42 coins, it would just be a mining race to get the unclaimed coins. However that could effect the new network as many people would continue to support the old chain. To conclude I would say close the swap for new old 42 coins.
I did see a post somewhere from Lasergun (I think) about closing swap for new coins but allowing those with untouched old coins to swap after the deadline. I could support that. Not the same as checking for dead accounts but if I understand correctly there is a record of when coins are moved/created. If that was an option I would say have a deadline for late swap too.
I'm not sure about a faucet for this coin either. The limited supply makes giving small amounts away cost prohibitive. The transaction fee would be a large percentage of anything you send. I'm not suggesting we adjust the fee, its important for PoS miners. You could make the faucet amount larger but the high value of the coin means every claim is a lot of money. Perhaps keeping some for contests would be good. Its just a matter of who holds the coin. Again with the high value, you need community trust. But having a community fund controlled by voting works for me.