You could always just do a specialization in statistics. That would mean more stats courses, but you wouldn't have to do a major or minor in combination with it.

Advanced statistics courses are going to require a solid pure mathematics background too, as calculus and linear algebra come up in advanced statistical techniques. As such, expect to take a lot of mathematics courses anyhow.

Personally, I think stats and economics are a good combination. Chances are as a stats major you will end up working in the field of finance/economics, so it would be good to have a solid background there.

Math-based courses usually don't have too heavy of a workload, if the stuff just clicks for you. There isn't a lot of memorization; you just have to do practice questions to get the procedures down. You almost always have something to do, but if you can manage your time well, then you'll never have a ton of work at once.