In my opinion, no one has to be concern about the crossing duct heat emission. See for instance:
Derating Cable Ampacity for Short Segments in Buried Conduit
IEEE Transactions "Ampacity Derating Factors for Cables Buried in Short Segments of Conduit"
"The results show that once the length of conduit exceeds about 20 times its outer diameter,
then the ampacity of the circuit must be reduced to the value that it would have if the entire length
were buried in the conduit.
Factors that result in lower cable ampacities, such as high soil thermal resistivity and deeper burial depths lead to larger derating factors."
NEC allows 3fts length or 10% of the entire run to be neglected.
If the duct of is of 4" and the concrete between ducts is 3" the maximum of 4*20=80 inches is maximum length permissible [it will be a row of 80/7=11 ducts].
The low thermal resistivity backfill is very good but it is expensive and not practical for large surfaces.
You may use this above the intersection if you are still concern about heating.
DTS system it seems to me to be very interesting but not in the time of the design process of the duct banks.
In my opinion, it is more important to design a suitable support for upper duct bank not to damage the lower duct bank.
In my experience, even at an intersection of three duct banks -in a power station-it did not arise any electrical problem.