I don't have personal experience with these, but my thoughts:
But the Kenwood and the Alpine are pretty good SQ subs from what I have read.
If $300 is a "hard number" for you, go with the Alpine's- it's a better amp and you won't really notice the missing 100W RMS.
OTOH, the Kenwood's handle 800W rather than 500, so if you wanted, you could get that package, and then upgrade the amp to something like a Kicker ZX750.1 (or get that now, but it's an extra $140).
If that gives you perspective on the options.
HTH!
2002 Ford Focus
Sony CDX-GT410u
Sony XT-100HD HD Tuner
Stock speakers, no amp, no subs