Did the idea to add a pre-amp out come up only after you found the amp doesn't sound good with a bass? If so, that issue is worth pursuing on its own. (maybe the speakers can't handle the low freq? )
Also, perhaps you are speculating that the "post-2" bass distortion is coming from something after the pre-amp, and that by tapping into the signal before the PI will provide a super clean bass signal. perhaps so, but it could also be coming from the first gain stage. That double gain stage is popular with guitar amps, but I'm not sure it was widely used for bass. Sunn being only exception that comes to mind. that said, the solos, 100S, 1000S, 1200S, and spectrums were all marketed as guitar amps; the 200S, 2000S, and Sonics were bass amps. On the bass amps, they did that same two gain stage, but with a different coupling cap and that 'lo boost' switch, no doubt, intended for bass:

Regarding the 10K:600: you'd need to use a 12AU7, 12AT7, or another 6AN8 to drive it. the transformer may or may not have the freq. response at either (or both) high freq. or low freq. to get the perfect signal facsimile you are looking for. easier to use the tube for a unity gain buffered out like PRR suggested (unless you just want to fiddle with that OT).
If you add a preamp out, and run the OT into a dummy load, another tweak would be to replace that 1M grid leak in front of the 6AN8 pentode with a 1M pot (master volume), so if you are running a dummy load, you can turn the MV down to 0 to prolong the life of the 6L6's and the 6AN8. maybe that's over-kill/over-engineering. but it give you a master volume, which you might dig for guitar (other Sunn guitar amps, like the Model-T had an MV. The Model-T is more or less the same tone stack you've got, but with a Vox style "top boost" 12ax7 Gain+CF driving the tone stack....).