Ok, I added the attached mass to the launcher. This becomes pretty challenging, as the dV of the second stage is barely sufficient to reach the Moon. So I aim for a high (300 km) parking orbit, to use the first stage as much as possible.
The second stage is more or less spent after the lunar injection burn. Only a slingshot is possible around the moon, as the Orion does not have enough power to slow down into lunar orbit and come back.
Given this, I will probably rather model the Exploration Upper Stage (EUS), which is much more versatile than the ICPS. Also with NASA plans it seems the ICPS will be short lived, being used for the first mission only. Human rating of the ICPS has been halted.
---
Regarding a charred heat shield, that would indeed be a nice feature. Will habe a look into that.