the problem with the line 6 outs, is that they are the output AFTER it's been preamplified....
if it were me, and i just HAD to have a direct out/clean sound for REAMPing, i'd do this:
setup the line 6 for the cleanest, flattest, most unaffected tone, but that has enough gain on it to be able to get your style out of that sound..... to be touch sensitive, and have dynamics.....
and let THAT be your direct out sound.
then use your little solid state amp, and with your effects, get the most bad @ss sound out of it that you can, and experiment with micing it up.
then, blend those two sounds together, and add plugs or REAMP using that cleaner tone from the line 6 outputs.