[Porsche-O-Phile]

It's hard to know exactly what your question is. If you're asking, "is the HVAC system sized appropriately?" then you need to consider code requirements, best practices and perform a full envelope thermal performance calculation (as has been mentioned).

Based on your description there's not enough information to adequately understand exactly what's happening or what the scope of work is. Are you using open or closed cell foam? Is your intention to have the foam function as an integral vapor barrier or not? If so, did you define your and goals and performance requirements? In your climate you'll need a vapor barrier on the outside face of the wall (closed cell foam will usually suffice for this but you need to ensure the particular product being used is rated for this and if so, what its performance / permeability is). You don't want moisture from a humid, hot exterior getting into the wall, cooling to its dew point and precipitating out rotting stuff.

Lastly - don't EVER let an HVAC guy size your system - hire a mechanical engineer. You're begging to get ripped off otherwise. The calculations will show what's required and the engineer will own the compliance with the code if code requires something else. Then you can price competitively on that basis. Hiring the mechanical contractor to design the system is like asking a car salesman, "what car should I buy?"