This may be obvious, but it seems you could avoid a lot of risk by just changing to DHCP in advance.
I do think the switch will try DHCP if it can't connect, but I would dig through documentation to try to confirm that if you need to go that way for some reason. If at all possible, I like to have some person who is willing to show up with a laptop and ethernet cable as plan B even if they are not technical, but at least willing to be there and helpful in case of disaster and needing something like a paperclip reset or to make a console connection, etc.
Can you explain why you want to change them to static addresses at all? I can't see any good reason for using static IPs when DHCP reservations are easy and better in every way that I can think of. This post is a case in point of why it would have saved you trouble.
Good luck.
- Ex community all-star (⌐⊙_⊙)