I have a small raw piece in solid black -- very grounding and protective, also a strong sense of integrity with this stone.
It does seem to facilitate integration & forgiveness; "what doesn't break you, makes you stronger" is a phrase that always comes to mind when I'm handling the raw Apache Tear piece.
I also have some small, tumbled Apache Tears, but I'm drawn more to the raw -- its rough surface seems more comforting, almost "cozy"
Whereas Obsidian, especially polished, has a challenging quality for me; I don't think I'd ever refer to an Obsidian as cozy!
You could try sleeping with the Apache Tear under your pillow, or on a bedside table, why not?
I would pay attention to my dreams, and have a Dream Journal within reach upon waking.
Personally, I don't sleep with crystals near me for extended periods of time -- I take breaks if my dreams get too active, or the crystals need a rest.