Missions/scenarios to play competitively?

I recently bought a bunch of models for the rebels and the empire. Just had my first match against a friend today. It was his first time playing as well, so we tried to keep it simple with ships. Using quick build rules with 3 tie fighters against an x-wing and an a-wing.

The game was fun and easy to get into. However at the end, it took forever to finish each other off with a single tie fighter against the a-wing. It was quite difficult to do damage to each other even though we had plenty of opportunities. They mostly resulted in 0 damage. Even within 1 range. I guess they are both agile without a lot of firepower?

It made me think though, is there scenarios to play where we don’t have to play until the enemy is completely destroyed? was it just because of inexperience/unlucky with two last ships, how do people normally handle such situations?

Otherwise, fun game. Seems easy to setup in the table and rules are pretty straight forward. Which means it’s more likely we play (with most friends having small kids).