If you do a search on this site on the difference between "since" and "because," you will find that some people think they have different meanings and that you should use "since" only when you want to refer to time. ) However, to the average listener (American, anyway), "because it was raining" and "since it was raining" will be perceived as identical. Regarding the difference/differences, it depends if you thing there should be more than one TYPE of difference.
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ocsenttddI know that "as" also means "for the reason that", so it looks like the same meaning with "since" and "because".All my remarks about "since" apply to "as". You can treat those two the same way.