but there's no Electrum-like desktop wallet for Bitcoin Cash,
there is!
it is called Electron-cash and it is a fork of Electrum made for bitcion cash. it has some issues and you better download the source and build it yourself.
link to website:
http://www.electroncash.org/link to source:
https://github.com/fyookball/electrumPaper Wallets are also way more secure, for me.
What are the situation with paper wallets for Bitcoin Cash?
Is there any - or is there any in the making?
since the keys are no different in bitcoin cash with bitcoin (to this day) you can simply use
http://bitaddress.org/ to make a bitcoin address and use that as your BCH paper wallet.