The XB700s are great for quantity, what you describe as "feeling the bass, not just knowing its there" is totally different from quality, because if you use XB500s with E6 in bass boost mode, you FEEL THE BASS. Is it quality? No. is it quantity? More than you can stuff into Noah's Ark.
"Knowing its there" and "feeling it" is a measure of quantity.
Ever heard Beats Solos? They suffer badly from "one note bass", which, they have a decent quanitty of bass, but a bass note at 250 Hz will sound the same as a bass note at 200 Hz because thats how the headphones perform. Quality = being able to distinct the tone, frequency, tempo, and intention of the note, while quantity is just plain
and it seems you want that.
If you want quantity with mids and highs, then the XB700 really could fit your bill if you throw an E6 or E11 somewhere in that mix :) Any other details you wanna give us? price range? etc.