Cheap , simple 'always on' + Phonewatch ?

Have an eircom line connected to Phonewatch, but want to get 'always on' broadband or somesuch that will get me international radio stations through the day and the odd download of music.
Using a 'cheap' 6pm to 8am rate at the moment. I'm not very tech, just want to be able to listen to radio and maybe use the i-net during the day instead of waiting for 6pm or weekends.
Any recommendations? Eircom seem to have a E9.99 / mth 'no frills' broadband, no 'bundles', just the basics.( Or is that like trying to get cable TV with the channels YOU ACTUALLY want, as opposed to the co. throwing 10 ****s channels in with 2 good ones ? )