It's a difficult decision. My style is similar to you except that I play a lot of mid-distance looping. I use H3 on my FH too.
Your options are:
**Softer 7-ply (DHS Long 3)
**Hard 5-ply (Intensity NCT, Celero Wood etc)
My recent blade has a thick Kiso Hinoki layer on top of the carbon layer...