I'm not in the trade at all, and this may not help any, but about a year ago when I was regularly visiting Outpatients at my local hospital. They were refurbishing the area where the ambulances park when delivering patients to A&E (right next to the Outpatients entrance).
I was very surprised to see that they excavated the asphalt & concrete down to about a foot/eighteen inches deep, then laid a new concrete base about 6 inches deep. When dry they then took sheets of a very rigid foam plastic about 6 inches thick and cut the sheets up to fill the whole area. I saw then cutting the stuff and they just used normal hand saws. After that they then just laid tarmac on top(? - see below).
I'm sorry, I've no idea what the foam was called, it had no names on it, but it was a cream colour and, IF I remember correctly, was silver on one side (aluminium?). As said, it was very rigid (I could hardly pinch my thumb and forefinger together on a bit of off cut I found).
That was about a year ago and Ambulances are now parked on it regularly (Mercedes Sprinter based vehicles mainly) and when they are not present one can't see any sign of deformation on the upper surface where the vehicles have been standing. The area is big enough for 2 such vehicles to stand side by side.
Unfortunately I did not see if they laid anything on top of the plastic before laying the tarmac - one week it was still all plastic foam, next week it was all tarmac!
As said that was about a year ago now, no sign of any deterioration since, and apart from an overhanging roof and wall to one side, the rest of the area is open to the elements, like a car port. Summer temps can be 30+ deg C, winter down to -15 deg, sometimes snow covered, and like UK, it "sometimes" rains in Switzerland!!
Sorry I have no idea of the name of that foam but perhaps there's enough info above for you to ask some Qs at a builders merchant?
FWIW
AES