My original yellow shirt is getting a bit frayed, but I agree about the need to carry a voltstick at all times!
Having appied it to a number of patient TVs, I am concerned that even some that are supplied as dedicated hospital units, they are not correctly earthed. When you get an opportunity I suggest that you take a look at those used in your establishment.
According to the 17th edition of the IEE regulations, all accessible conductive surfaces should be earthed, which is why even the fixing screws on light switches and mains sockets are all earthed.
In a medical location similar rules apply to the metalwork on any powered device. I would suggest that it would be worthwhile checking some of the kit that is used in wards and ITUs to see what you find. If you pick up any significant touch voltage then you need to take the matter further.