The real question is "Would you mark the answer as accepted?" The bounty going to an answer will give future readers a strong indication that it can provide aid in solving a problem like the one described in the question.
Sure you solved the problem on your own, but the trail you leave behind is for those poor saps who come here later with problems similar to your own. So long as the integrity of the bounty is maintained I think you're in the clear.
Also, just so you know how it plays out if you neglect to award it to someone:
If you do not award your bounty within 7 days (plus the grace period),
the highest voted answer created after the bounty started with a
minimum score of 2 will be awarded half the bounty amount (or the full
amount, if the answer is also accepted). If two or more eligible
answers have the same score (their scores are tied), the oldest answer
is chosen. If there's no answer meeting those criteria, no bounty is
awarded to anyone.