Matt,
I might have missed it, but did you grind the knife before or after HTing? It sounds like you ground the blade first?
I'm not a super experienced fillet knife maker since it's probably the kind I make the least of.
Try doing your profile. HTing and then grind in your bevels with a lot of distal tapering on .70 stock.
I have made several of what I called my Pacific Yellow Tail swords this way with a 9-11" blade. The worked fine with just a little flex. I used 3/32" stock.
I agree that in my experience, flex comes from distal tapering and design, not the HTing.
The few Bass 2-10lber fish Fillet type knives I have made, I started with 1/16" 440C They worked fine. I just hate making them! LOL