This is exactly the problem. These old style headbands can sort of hang from the top of your head. The weight of the headphone on your neck really is not an issue IMO, but it's unbearable all focused on the bony scalp and you find your self tilting your head funny to move around the sore spot.
I've got the perfect solution and it should work with lcd and hifiman. This is a plether pillow the previous owner included, works nice on its own but even better as a suspension strap. I used super glue and a spare pare of shoe laces to attach it at the bottom of the gimbals. Notice the head size adjusters are nearly at maximum and the large space between the strap and headband. This greatly improves the clamping force, the force per area is nearly uniform across the large pillow strap and the ear-pads, which have about the same sponginess. If i were to do it again i would harvest straps from and old backpack or something in place of shoe laces to make them easier to adjust.
I know some people out there don't like cheap looking mods on a 1000$+ headphone, well the he-6se is for you!
This is a point many newer members might be confused about. I think the bass extension is a tiny bit better on the he-6, and there a bit more quantity on the lcd3. These are not large differences. The big deal is Impact, being able to have a full force bass note just appear out of nothing and vanish like it wasn't there. In these regard the he-6 is strikingly better then anything I've ever heard probably surpassed only by utopia and e-stats. I was strongly considering vocal clear or zmf eikon when i was looking for my current he-6. From what i've read they're aiming for a similar flavor, I really wonder how close the impact comes.