Aer Lingus are fine with a Drivers Licence, so long as you are an Irish/UK born Irish/UK citizen. It's relatively common for people to travel on these routes with a drivers licence. They wont bat an eyelid.
The other option would be to acquire one of the Irish passport cards, they are biometric passports in a credit card format. They are good for travel within the EU/EAA and last up to 5 years. FR do accept these for travel.
https://www.dfa.ie/passportcard/