Rebels without damage possibilities

By Baxie, in Star Wars: Rebellion

I was playing this game yesterday as the rebels with the expansion missions, I was caught in a bind, when my opponent systematically kept dropping off tie fighters on systems I had loyalty. This, of course, left me without possibilities of producing units and placing them anywhere. Whenever I got loyalty on a new planet, the empire would show up shortly thereafter and drop off one tie fighter.

I had the Leia card, that allows me to find a mission of choice, and I figured, that using this would allow me to destroy a Tie-fighter somewhere, and let me get back in the game. But there are no missions in the RotE-deck that let's the rebels destroy ships. You get two cards that allows you to jump from the base to a system with ships, but those are "Attempt" missions, and if you are getting hammered on production, you don't have much to spare.

Anyone else experience this?

Anyone know how to counter it?