Tree that doesn't host Box Elder Beetles
Thanks for your question about Box elder bugs. The trees that they are most attracted to are, not surprisingly, box elders (Acer negundo, a type of maple); specifically the seeds the female trees produce. They may also be attracted to other maples, and ashes. That leaves a pretty wide field of potential trees to grow. I can't recommend specific trees without knowing more about your site and needs. Things to consider are - how much space do you have for the tree, both vertical and horizontal; how much sun will it get; will you irrigate it; what is the soil and drainage like. Determining these site characteristics will help you choose a good tree for your site. Also consider do you want a flowering tree? Fall color? Fruit?
Here are links to more info on box elder bugs: