The basic approach for a full body appearance like this is to set the UTI up as a disguise. It's the same way the space suit, underwater suit, Sith armour, and Sand People clothing works. In the UTI you add the disguise property, which points to an appearance.2da row ID to use as the appearance. In this particular case, the existing Mando rows are set up to use set "racetex" texture overrides (N_Mandalorian01/02/03), so you'll need to create a new row that duplicates one of the existing ones but points to your own custom racetex variant.
Since you've already got a mod that does exactly what you want, the best starting point is to poke under its hood and see how it works.