If I let my option expire ITM (Bought Put Option) I will then own those shares. My account won't allow me to do covered calls or covered puts so I can't leverage against them. What are my other options to earn capital off the shares or should I exercise before expiration?
You bought put options which are now in-the-money, so you have 3 choices:
Sell the put options to close your position
Exercise the put options (sell the relevant shares). If you don't have any shares to sell, perhaps your broker will lend you the money to sell them short.
Let the put options expire in-the-money. Your broker may try to exercise them for you (#2 above) or sell them for you (#1 above): "If you don’t have enough of the underlying shares, we may attempt to sell the option." - Robinhood https://robinhood.com/us/en/support/articles/expiration-exercise-and-assignment/