AMC 12 2018b Problem 15

How many odd positive $3$-digit integers are divisible by $3$ but do not contain the digit $3$?

$\textbf{(A) } 96 \textbf{(B) } 97 \textbf{(C) } 98 \textbf{(D) } 102 \textbf{(E) } 120$