Abyssea, yeah you solo anything you want, soloing stuff in SoA is more challenging because theres no atma/temps to help you.
You can solo IT+ adoulin monsters on RUN that arent magical, just pile on a ton of evasion gear and ride Battuta->Swordplay and stoneskin tank.
IT++ monsters can be 5+ minute fights, so they can get a bit rough sometimes and I swap body slot to orvail because I need the extra refresh ticks.
This is my NM eva tanking + solo tp set:
ItemSet 309937
Bereaver is Eva path, so this set has +109 evasion + capped haste (25% haste if I use orvail for extra refresh while tanking)
don't need mage sub to solo IT+ stuff, I use /thf for TH and get an extra ~+22 evasion from Evasion II trait.
Just treat the job like it doesnt have full -pdt as a survival option and stick with eva/spells/JA to survive.
For lower tier zones like morimar you can chain4+ T/VT and evade so much that aquaveil/stoneskin/blink is basically a waste of time/mp.