Do you have the "space" to bring a new switch on-line, w/o any edge connections. If so, can you re-patch hosts to the replacement switch? If so, each host outage might only be a couple of seconds, i.e. the re-patching transfer.
The foregoing also assumes you can bring the first replacement switch, on-line, with uplink to join existing network. If you need to relocate an uplink, and you have no redundancy, that too will cause an outage to all the ports downstream of it. That too might only take seconds, but number of ports impacted is usually more than just one edge port.
Even though any of the forgoing outages should only take seconds, even in a 24x7 environment, usage generally waxes and wans per day of week and/or hour of day. I.e. make impactful changes during low usage periods.
