Comment by mrandish

You may not need to get a museum's cooperation. After a quick search it seems these come up for sale from time to time. I saw one on the Vintage Computer Federation forums offered in 2021 for $500. You may be able to find a collector online who has one and will record the relays for you. A lot of folks have pretty high-quality USB mics for conferencing/podcasting these days.

An alternative might be going to a regional VCF show where one will be (possibly by pre-arrangement with a collector). There are five or six shows held around the country every year. Unlike a museum almost all the devices there are available for hands-on interaction.