Ha yeah, Im not too concerned about a percieved waste of time or money you associate with train travel. I have a month to spend there at it would be great to see some parts that most tourists dont get to.
2 Years ago i took a train/bus trip from Riga-Daugavpils-Vilnius-Kalvarija and back. It was alot of fun and Im sure the options given here won't dissapoint.
Again, I know I can pay Ryanair 10 bucks to get from Weeze-Riga but whats the fun in that??