But, in short, is it possible for me to choose 3 or 4 different servers, to all be connected to Electrum?
I don't think that's possible. I'm okay with "Manual server selection": it only connects to my own server, but when my server has a problem, Electrum tells me it's lagging or offline. So if you want to use a few selected servers, I'd say pick one, and switch when there's a problem.