I heart minimal - it's the music that when it's done well (and I've heard it done very badly, monotonous and completely dull) that is, imo PERFECT for that 11am feeling. Music that makes me want to close my eyes and just dance, music that I can do all sorts of bonkers steps and make shapes and animal noises to, music that I can be silly to at silly o clock in the morning, just perfect. (god, I really really love my bleeps!)
if you want great minimal, listen to a mix by john tejada or magda, they do minimal which is a bit less 'chilled out' and a bit punchier and after a few listens you'll get it. And then when you see them live, you'll really get it.
Also, minimal/tech house on your CD player vs minimal on a sunny terrace in dirrrty london or DC10 is a completely different experience, worth experiencing before you dismiss the genre completely.