As someone who has been trying to convince hiring managers of this very thing (dual major in electrical and mechanical engineering) it's harder than it sounds to find a job that crosses the bridges. Just my two cents.
I work for a small product development and contract engineering firm - a dual major in EE and MechE would be a big plus in our eyes. Not sure if that’s the type of job you want, but there’s definitely such firms scattered across the US (assuming you’re based in the States).