Just go with the speed run mentality, I will tell you from personally experiencing it 3 weeks ago, from level 30-60, aether level at zero, I leveled my alts monk in POTD and approximately by level 49-51 I was capped on aether pools...

This was fine with only speed running, RNG may vary but it won't be like you'll hit 60 on a leveling job before you cap AP...and you don't need a level 60 weapon at level 31...

Even for other level 60 jobs, just speed run and gather xp and AP at the fastest rate.