I don't mean to burst your bubble or come across as cynical, but the reality is that your Diversity Statement will likely not even be read (as you are not an URM). There are far too many applications for Adcomms to go through and they really only care about diversity as it pertains to shaping statistics they can report to the ABA/LSAC/US News/etc. By and large, their interest in the matter is solely for political/business reasons; none of which will benefit from your story.
I say this because I wasted far too much time putting effort into extra essays/statements (I wrote a Diversity Statement as an non-URM too) when people who'd been through it before plainly said "All that matters is your LSAT." This is largely true, of course, weighting GPA and strength of undergrad curriculum/school too.
If it makes you happy or feel as though you will not have put your best foot forward, then do it for peace of mind. Even if they read it, they will not care in your case (sorry). Extra essays and/or effort of the kind will go further once you've been accepted and are negotiating for any scholarships, aid, etc. so that you'll attend their school vs. another.