When laying down, their weight is not an issue anymore.
I've been using LCD-2s for about a month now and I am slowly getting used to their weight. Clamping force is perfect for me, not too much, not too little - just very comfortable.
Now the only thing needed is to develop more neck muscle to carry their weight:) In general I consider them very comfortable headphones and I expect to get used to their weight very soon.
Of course, another possible solution to help build those neck muscles is to carry things around on your head. Start with lighter things to begin with, such as a plant (see below), I personally think it looks rather dap! and then build up from there. Yes you may attract more eyes than normal on the train or in the office... But theres nothing like being attractive!
Over time your neck muscles will start to feel stronger as you progress to more difficult objects like chairs and small children, and soon enough you'll be able to carry your whole family on your head! (see below) And your LCD2's will no doubt, feel light as feathers.
Always willing to lend a little friendly and worldly wisdom ;)