ITIN Tenant please HELP!

[Kenneth McKeown]

I have a 4-plex that's in a very heavily Hispanic neighborhood. I've had a ton of calls with folks that do not have a SSN but rather an ITIN number. One in particular is a single mom and has sent me proof of income, rental history and bank statements. 

What can I do to minimize the risk of not being able to run a credit & background check? Monthly rent is 925/mo and she's comfortable paying a $1500 security deposit.