Hi guys, just a clarification.
The tape out is simply a direct intput to output connection, much like the HT/BP, except that whatever input is selected is sent straight to the tape out. I would recommend connecting the headphone amp directly to the tape out. You can then connector whichever source that you normally run through your LS 36.5, to the headphone amp. Unless you need the additional gain, or there is advantage to the 100ohm output impedance of the LS 36.5, then there is no need to use the active gainstage in the LS 36.5.
If you connect the headphone amp to the HTBP outs, then you may turn the preamp off and achieve the same effect, except that your source needs to be connected to the HT/BP input.
If you can benefit from the low output impedance of the LS 36.5 and your headphone amp functions better with a balanced output, then by all means, drive the headphone amp with the LS 36.5.
I hope this helps.
Thanks,
Dan W.