Beyond 100 it becomes a game of avoiding the The Loxodrome of Terror by spiralling into an unescapeable trap.

Easiest pattern to get some more length is to do some sort of spherical sinusoid by following the meridian and then some optional final fill loop for the poles.

Overall it feels a bit slow to get to the part where it becomes tricky

For optimal fill you might end up with something like a tennis ball/baseball pattern instead.

see fig 5 here

https://arxiv.org/abs/1005.4609