the pre amp of the kav300il is fantastic, but you are right about iy getting hot when pushed. I kept my kav and used it as a pre for a few years while using various other amps. I don't have experience with theil speakers so can't recommend an amp.
Thiel 2.4 Speakers & Krell KAV - 300iL
I currently have Thiel 2.4 speakers driven by a Krell KAV - 300iL. I don't think this integrated amp is sufficient for these speakers. I've considered adding an amp to remedy the problem, but not sure I want to spend the money. I've contemplated replacing the Thiels, the Krell, or both instead. I'm not sure what I could get for either component or what to buy as replacements. Sorry to make this so open ended, but I would appreciate any insights you may have as I consider these options. Thanks!