Well, as much as I like Polk...between those two subs, the Alpine seems like the choice. I've read alot about how much people like the Alpine Type R's.
The Alpine doesn't need as large of an enclosure...has a bit better RMS & peak power rating...I like the Fs number better (will go lower before reaching it's resonant frequency)...the vas spec even though it's only one point lower, means the sub is overall more stiff to fight air pressure and *should* be a "tighter" sub in terms of sound and also needs less enclosure volume to work correctly (which is confirmed by the spec that shows sealed box volumes).
A plus for the Polk is the 3 year warranty, if that's something that matters to you. Looks like the Polk would be happier in a sealed enclosure.
A couple things to consider first would be what kind of sound are you after? What type of enclosure were you thinking of building? What amp & power will you be supplying it?