I've also got a Kimber in 38 Super. Here's what I've learned...
• I suspect that lots of modern Supers are simply 9mm barrels reamed for the Super chamber. That being the case the results have been excellent using 9mm bullets interchangeably. But when bullet shopping, don't forget to check under both listings. It loves the Berry 124gr HBRN and the coated 135gr RN from MBC (IDP#8).
• Super likes a slightly slower powder than 9x19. So any powder that's a good defensive powder for Luger is an excellent target powder for Super. Examples: N340, No7, Unique, HS-6, Silhouette, WSF, BE-86, and similar.
• My Kimber choked on feeding Berry 124gr Target HP, and does not like to extract 38 Super Comp brass.