Skinny, low stretch strings will help on the D profile bows, but you will still feel a bit of a thump. My Shelton has very mild hand shock with 9-10 grains per pound arrows. If I get some heavy ones made up, I'm sure it will be even less.
My Kanati has NO noticeable hand shock, but to be honest, it is a hybrid, definitely not a D profile. I think Jason gets rid of the shock by making extremely efficient bows. I have had mine since 2007 and I am still amazed at the speed even with heavy (11-12 gpp) arrows. Oh, and Kanatis are also very light weight, so you don't have to have a hefty bow to have minimal hand shock.
If you want to shoot a Hill style longbow, you will need to get used to at least some shock. The string follow bows like my Shelton tend to have less than straight or back set bows. It is certainly not uncomfortable to shoot.