So Arizona's no different than North Dakota (and perhaps some other states) as far as how the two representatives from each Senate district are elected. Idaho and Washington State (and perhaps some other states) elect each representative in their two-representative districts in separate contests. New Hampshire does the same as North Dakota and Arizona in its multi-member House districts. I'm not sure how Maryland (whose Senate districts can be divided into three single-member house districts, a single-member and a 2-member house district, or serve as a 3-member house district) elects its Representatives in its multi-member districts, in separate contests or in plurality block voting. I'm sure it isn't a proportional method.
Maryland is like the rest mentioned -- if you live in a 2 or 3-member district, they all run on the same ticket and you get 2 or 3 votes, respectively. That's one of the reasons why Maryland has such a heavily-Democratic State House; Montgomery and PG Counties are representated 100% by Democrats.
Going back to the original, mistaken assumption, it doesn't seem to me that the idea you could only have one vote in a two-representative district. That doesn't sound constitutional.