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Very few engineers take that route (the only one I know who did was double majoring in math and EECS).
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Not true. There's been plenty. Some of them are even profs in the CoE now.
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The other one I was thinking about was Math 156 (Calc II w/ application), because it seems like it might be more beneficial to an engineer, whereas Math 295 seems like it might be more for a person interested in becoming a mathematician.
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There's no such thing as math beneficial to an engineer. Whatever math you need in engineering, you'll learn in your engineering classes. If you take one single differential equations class, you're all set. You really don't require anything else. You'll also relearn all the diff eq you need during your class.
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What about super honors, as in Math 295?
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If you're interested, try it. If you don't like it in the first couple of weeks, drop and add the other class. I'm an EECS major who took 295 and 296.