There's a beauty and elegance in the simplicity of charging straight into that one and only one goal. How could you stand just playing one class on the initial playthrough? I know I can't. When I imagine the time you spent in DF queues, I am actually impressed by your tenacity. A single deviation for level 6 lancer, presumably because the elitists are mocking you about level 34 lancer and lack of blood for blood right about now. Not a single DoH, DoL class. You didn't even try on the gear. Amazing sense of purpose.
(*I honestly don't know if I'm being sarcastic or not, the forums certainly will take it that way.)

But with that sort of willpower, I'm sure you can accomplish fate grinding. Somebody said it before, but yes zones are empty. Any FATEs that are not single big boss should be easy enough to accomplish without a group, but it will be slower XP since the zerg isn't around. Until level 15ish, self chain 5 is a good goal and fills in FATE downtime easily. If you have another player to join with, even better.