If graduate school is your intention, I suggest finding a school which commonly works on those types of projects. There are plenty of funding opportunities through NASA fellowships, as well as in general space technologies.
The NASA fellowships sometimes even require you to do internships at the various NASA centers, which gives you a better chance of being hired in the end. The funding issues NASA faces has made it very difficult to hire any non-Ph.D.s. You actually don't necessarily need a security clearance to work at NASA
Other contractors like Boeing, Lockheed build a lot of the technology and NASA only manages the science. John's Hopkins Applied physics lab is contracted to build probes as well.
In summary choose your advisor on the basis of what projects they are working on. It will increase your odds.
It will probably very difficult to find an advisor interested in Astrophysics and Electrical engineering. Academia is much more corporate and funding driven than you probably expect.
My background is I am a Ph.D. student in electrical engineering working in electromagnetics. In my past I have worked as NASA and SpaceX. I am currently funded by a NASA project, but I do not have a fellowship.