For the record: I've got a BSEE myself, working on the MBA.
The thing about master's degrees is they're generally most effective when you have a fair idea about what you want out of them. Are you looking to broaden your expertise? Focus on a particular topic? Change careers altogether? That will help you choose the right program (school, full-time vs. part-time), the right course of study, etc. You'll be much more motivated and enthusiastic, and you'll get more bang for your buck (and it ain't cheap).
Go get a job, earn some money, work a bit (and don't stress too much about the 'harsh economic climate'). You'll learn a lot about what you want and don't want in a career, what type of work makes you happy, what management style and company you prefer, etc. You'll also have some fun building your life and putting some money in the bank (it's quite rewarding).
Look up in about 2-3 years and see what you think of graduate school at that point. See where you really want to go/what you want to do. Most of the engineers I've known get master's degrees to manage groups or move into senior or even principal design positions (though the later leans more towards a PhD, in bigger companies). Some have done it to shift industries (e.g., telecom to biomed). Depends on what you're after, and you won't know that right out of the undergraduate gate.
Try and get it done before marriage and kids/partnering up. As a collegue once told me, three drinks down: 'changing the world is doable after a wife and kids; it's just a helluva lot harder.' You'll have more energy and focus, and it's easier to live a poor grad student's life when there's no one else to be responsible for. If the timing doesn't work out that way, don't despair, just talk it out with the wife/partner.
Above all, just enjoy it. Life's too short to stress it overmuch.