What size transformer is feeding that 208V panel? I have been doing this for a long time and have yet come across a dry type transformer under the size of 225kva let more than 10K through. Also, just because the breakers are rated at 10K aic, does not mean there is 10K available.
And no one is going to pay an EE to do a fault study on a plant that size to replace one piece of mechanical equipment. Whoever designed the HVAC equipment should have designed it with a higher SCCR rating. Its no upcharge to say provide the unit with a 42K SCCR rating. And its a minimal charge to go to 65K.