Which airline requires you to print your own boarding pass and won't let you on the plane without a phone? Now I haven't flown in years but last time I did, the normal procedure was to show up at the airport either with your printed ticket or just your reference code and ID, and either use a kiosk or talk to a person to get your boarding pass, and also to check in your bags.
Ryanair don’t charge you 55 euros, at least not from what I’m reading [1]. It’s completely free, at the airport, provided you’ve checked in already, which from my experience can be done up to 24 hours prior to your flight. Plenty of time to use a hotel computer, someone else’s device or find an internet cafe if you aren’t completely disorganised.
I’m not sure about Wizz Air, I’ve never flown with them and their website isn’t quite as clear as Ryanairs.