I sometimes have more than 6 problems in a 24-hour period, or more than 50 in a 30-day period, so I think that it would be really good if the limit could be raised, or if you could add to your limit by taking of a question from the next day.
Or a better system, as I imagine that this is mostly to stop spam and encourage new users to do research before asking, would be if users with, say, 2k rep, or something like that could have the limit removed, or for the limit to go up at least.
Or even for a mod to have to confirm that the question is good, before it is posted to the site (this would probably be for higher rep users though, lower ones just wouldn't be able to post).