Now, I've, ahem, never ridden that footpath, but I would (not) suggest taking a line on the right in the trickiest sections (at least, they look tricky, I wouldn't know, because I've only ever, er, walked it).
I could be wrong though – I've only (not) done it at night when no-one's about so had a bit of tunnel vision going on and probably didn't look at lines too much. As a result of only (not) riding it at night, it's also not massively clear in my memory, so we could be talking abotu different sections.
Not a huge fan of footpaths in the busiest area of the Peak in the day!
The bit after the gate is actually easier than it used to be! Just stay off the front brake and you'll be fine.