That sub, or most any other sub for that matter will perform better and handle more power if you mount it in an enclosure.
FTI, You also can put more power to that woofer than you suggest as well, but since you are on a budget... What amp do you plan on using for the woofer?
Since you are looking at Kicker, take a look at the KM10 marine sub. It handles the power you claim, and will work okay in an infinite baffle installation. It will work better in an enclosure like almost any other woofer, so consider building a box that either uses the kick panel as one of the walls for the enclosure, or build a complete box and then cut a hole so the woofer sticks through. Those are just two options for you to think about on the enclosure; there are other ways to do it as well....