I don't really see what you need catching up on
Your ilvl is well within range of most players (which are all somewhere between 190 and 210), you are caught up on the 3.1 story and have everything unlocked.
Doesn't sound to me like you are trailing behind, unless you have everything only unlocked and nothing cleared. In that case, maybe do that first?^^
(not counting Alex Savage, just ignore that one..^^°)
Getting started on the gear grind NOW would be honestly kind of wasted; you'd rise 2-3 ilvls at most which wouldn't make much difference, and soon the new patch will be released with new tomestones.

As for them, try doing your daily roulettes about 2-3 times a week at least. You should hit the weekly cap that way without spending more than 2-3 hours on it. With that, you still have time for story and content clearing left but won't fall off the weely drill