Why not use your talent for singing to turn the stories into songs? I don’t think you have to memorise stories word for word in an academic way. Most of the traditional materials are in Irish or Welsh, which could be difficult for non first-language speakers to memorise anyway, to sing could be harder. Nevertheless, there are lots of folk singers out there who have produced material that uses traditional themes. For example, Lisa Gerrard’s Invocation of Amergin is fantastic and although the song is sung in its original Irish, translations are easily found. There’s also Sianed Jones’s Taliesin and a Welsh band called Ffynon whom you may like to research. Finally, you could also try visualising the stories, as if you were there watching – like a film.