Your experience reminds me of a reflective paper written by Patricia Mudgett-DeCaro (a professor at NTID), as well as the experiences I've heard her share in-person. She was born not only to Deaf parents, but to a family that had had extensive deafness for generations.
For anyone interested, you can find the paper in the book
Cultural and Language Diversity and the Deaf Experience edited by Ila Parasnis. The chapter is entitled, "On Being Both Hearing and Deaf: My Bilingual-Bicultural Experience".
(In fact, that whole book is full of interesting and likewise relevant chapters...)

"Dwell in possibility"