I'm not sure the bromination and dehydrohoalogenation are needed to get to 1,4-dihydronaphthalene. There are at least one catalytic dehydrogenation and three electrophilic reductions that are stereoselective because they add syn to the multiple bond. I'm sure that they are compatible with alkyl halides, but they would be a good place to start looking, since they avoid having to re-create double bond after total hydrogenation of a triple bond that was in the desired place.
I'm not sure how to balance vagueness with specificity so that I have provided some information without giving away the answer. I apologize if my response too general to be helpful.