Have you tried the Kemper DI yet? Maybe just make a few and report the quality of profiles you’re getting. I’m curious about tips on getting good direct profiles as well. Mine seem to get an exaggerated mid hump around 700-800hz and that gets worse in the octave from 1.4k-1.6k. I have to use most stomps, mod and x slots just cleaning up the artifacts.
It took forever to get levels set so that the Kemper would accept the DI signal levels but, I was finally able to make some direct profiles of my RedPlate RP-40. A pushed clean tweed setting was closest to sounding like the original amp when I used the amplifier's line out. When I used the Kemper DI, the resulting profile was down in level 3dB and sounded a bit congested compared to the original and the line out versions. And yes, I compensated for the gain differences.
When I went into the overdriven tweed channel of the amp, the resulting direct profile did have that same mid bump you mention. It appears to be centered right about where the Middle tone control is centered. I had to dial the Middle back and dial up the Definition to clean up the profile. It was also more compressed than the original so, I dialed back the gain a bit and bumped up the Definition a hair more.
So far, I am confident I can take these profiles I made and make them sound good for my gigs but, making them sound exactly like the original amp is going to take some trial and error. Hopefully I can find more tips and tricks around here before I get to my larger amps.