Warning: I'm a quad and rogue dealer.
The 11L's are fairly sweet natured but also very detailed. They seem to work well with anything. They are definitely a speaker that benefits from refined electronics.
The best price/performance combo I have heard was the $1500 Quad 99CDP cd player direct driving the $1500 909 amplifier. You get high power and a wonderful refined midrange. The 99cdp also has 5 digital inputs for computer/home theater. See if your local dealer carries these. I don't ship Quad equipment.
Tubes mate very well with these as well. I like the Cary 300SEI at 4K, the Madisound P-220SE at 2.2K, or a rogue 88M amp and rogue 66M preamp at 3.4K. The $1500 Linn Classic (receiver with built in cd player) would likely be a great match with them.
The CJ-14L tubed pre with the MF-2200 solid state amplifier is nice too. Could have fooled me that it was all tube. I'm sure there are lots of others. It's really an easy speaker to get right so long as you stay away from harsh solid state.
I second the Music Hall above at its price point. Very nice. I've read that the creek is good but have not heard it. The new cd players have much better digital sections in them and seem to sound better than older more expensive model.