So I want to get a tattoo on my back that represents ambition, strength, independence any ideas?

Well, here are some tattoos that i can suggest, bro :

1. Lion ( Shoulder )
Lions: Seen as a source of strength, courage and protection. Known for their hunting skills and ferocity.

2. Tiger ( Upper back )
Tigers: In Chinese tradition the Tiger represents fearlessness, royalty and is one of the 12 animals of their Zodiac.

3. Shiva ( Shoulder / Back )
Shiva: The supreme god of Hinduism who is followed by a group call Saivites. He is the third member of the trinity possessing the power to destroy the universe.