The Way of the Immortal does not deal with evasion, it faces it's problems head on.  Monks of this order have honed their abilities to endure anything.

Vigorous Presence

Whenever you finish a rest you gain a reservoir of psionic vigor equal to your 5 times your proficiency bonus.  Any damage you take is first deducted from your vigor pool with any leftover damage being applied to your HP.  Any time you spend a ki point you can restore 5 points of vigor per ki point spent, this restoration cannot boost your vigor above it's starting amount.

Empathic Vigor

As a reaction you can spend any number of ki points and then share your vigor pool with an ally within 30 feet until the end of the turn.

Focused Resolve

As a move action you may become focused.  While focused you cannot be knocked prone and can choose to ignore any effect which would move you.

You may end your focus to gain advantage on an attack roll, ability check, or saving throw.

Transcendent Ego

While focused you can exceed the limits of your body.  Whenever you would be reduced to zero hit points while focused you may expend your focus to remain at 1 HP and restore your vigor pool to it's starting value.