All my test gear is earthed, effectively, and I have an ELCB (RCD) on my bench feed, as well as master switches etc, just in case something goes wrong. My partner knows the big red switch will kill everything instantly and she doesn't need to get near me to operate it. (from my Uni lab days- the big red button near the door)
Lifting earth on a DSO or CRO is not a good idea. DSOs have SMPS supplies and CROs have big biteys should anything ever go wrong.
I have an isolation transformer (240-240) but I don't use it, as I don't work on tube gear or live chassis tube stuff often. I have these theoretical arguments with myself over safety (or lack thereof) when using it and an ELCB (RCD). Technically, there are situations where the safety switch wouldn't trip when using an isolation transformer, compromising your safety.
Funny, this post had me continuity beep-checking every BNC sleeve and PSU ground in front of me and I found one where I'd swapped around + and - on my AudioLab analyzer, luckily only for passive component and speaker impedance sweep checking.
BTW, bridged amplifiers and soldering iron earthed tips don't play well together either- ask me how I know..
Mike's suggestion is a good one. A PA multi- tapped line transformer.