As far as I understand, this may bring me to half the line voltage due to the caps in the power supplies, so if I touch anything that's actually earthed, I could be in trouble. There was also a comment that the fuses on my gear won't protect it if there's no real earth connected.
Should I create an unconventional earth connection by connecting to a metal pipe?
Here, the suggestion is to at least put a current-limiting resistor in between. But I could also be charging pipes going elsewhere in the building.
Having your ground connections float up due to Y-caps is a real issue if you truly have no ground. However, fuses are not really an issue.
It's hard to advise you because almost all alternatives have
potential drawbacks. Even if you find a nice pipe or something to ground on, unless you have some way of knowing that it has
reliable low impedance to actual earth (the one that your supply is referenced to) you run a real risk of some problem in your lab creating a dangerous situation where metal things in your house that should be at ground are actually energized. OTOH, letting your grounds float isn't really desirable either. I'd suggest both running a wire to the best ground you can find and using an isolation transformer for your entire lab. However, I'm sure someone will jump in and point out that this defeats your RCD protection, which is true but unimportant in my view (but that's an ongoing argument I don't want to revive here). Note that this is not 'floating' anything as the ground between all of your instruments and hopefully an actual ground is still intact.
Essentially in your case a whole-lab isolation transformer is a tradeoff between not having RCD protection on things you have apart in the lab and leaving the risk that an issue in your lab could result in energizing your plumbing or whatever you've chosen as a ground.