What EGR delete system did you install?
See any white exhaust?
What does a coolant sample from the radiator drain look like? What coolant are you using?
Haven't heard of IPR studs, did you mean ARP studs?
What head gasket did you use or did you do studs one-at-a-time? Who installed them?
Have you measured the pressure in the degas bottle? The puking probably tells the story, but data is always nice to have.

Sounds like head gaskets to me.

 

Only thing it could really be is head gaskets.

Who put the studs in? Machine work done to the heads? What did they use for block prep?

 

Is the Egr valve plugged in? I think in 2004 and newer 6.0s having the egr valve unplugged will not allow the fan to operate correctly. Can you hear the fan turn on? At 236 degrees that fan should be roaring.

 

The puking of coolant is not due to those temps, you have head gasket issues. Also try thermostat and when you say you changed the fan did you change the clutch too?