I was thinking a way add more “strategy” would be to add cards. Each card would be worth so many points and you could take as many cards equal to a pre-agreed upon point total. Each card can only be used once, but you can select multiple cards of the same type.
Perhaps cards could be as simple as “Nitro” get one extra flip.
Or perhaps more mischievous like “Dirty mechanic” skip one players turn or “slippery tires” where you make your opponent use their off hand.
Obviously, the added strategy would be what cards you select initially and when you use your cards.