Do I go from a Primaluna HP Integrated to Schiit Freya+ and a pair of Aegir Amps?

I have the Primaluna Dialogue premium HP and have it powering some AR 308HO speakers 93db in a 15' X 18' X 10' ceiling the room is carpeted and I have wall treatments and I get plenty of bass oomph from this set up, I think you should look into some wall treatments or other correction treatments like broadband bass traps or acoustic panels.I mainly listen to blues and hard rock and sometimes I feel I have almost too much bass.

If you want bigger faster louder make sure the Prima Luna is running KT150s.

Otherwise save up enough pennies to make a real upgrade. With Forte IIIs the amp is unlikely to be a system bottleneck. I suggest you look for improvements elsewhere.

@pesky_wabbit  is on the right track with the different tubes. Have you tried different pwr amp tubes in the Primaluna? Even if you haven’t, my vote is still for the Primaluna nonetheless. It’s hand wired with top notch build quality, where the Schiit has mostly SMD components on the PCBs, not that that’s necessarily a bad thing. 
It’s your system though, and it sounds like you want something different. If you want bigger, better, faster, louder, have you thought of a couple of Schiit Vidar amps and a Freya + ? 

Agree with several here.  The Schiit electronics are nice for the money, but they are going to be on the harsh/sterile side.  I was actually quite impressed with the Primuluna equipment for tube (and I'm not a tube fan). 

Lot's of choices for rolling out tubes.  For the 12au7, PSVANE if you want the most highest resolution and neutral tubes manufactured today (best modern manufactured tube in my opinion).  PSVANE makes EL34 tubes also. 

Or go towards something more romantic like NOS such as Amperex or others.

Some people recommend trying KT120 or KT150 to push up the power.  I have limited listening, but my ears tell me that these higher power tubes will tend to be shouty and have some grain.  Definitely not as sweet as the KT88 or EL34.