Generally with foreign nationals, if there is little to no credit history there are ways to use alternative tradelines. 

Quote from @Conrad Legé: I did a search and don't see a ban on searching criminal history.

Quote from @Lee Leoncio: One thing @Jason Wray failed to mention is that you typically need two years of work history to qualify for a mortgage.

Confirm residential history and communicated with the current landlord/manager?

You only need a place to track tenant information, payment history, maintenance, etc.

Additionally, depending on how you plan on purchasing - most conventional lenders won't underwrite a purchase in the name of an LLC that has no income/history. 1.

By talking more to the police, we found out that the main tenant had a long history of inviting guests in exchange for help around the house and that those relations would always turn tumultuous and that the police visited the house several times each quarter over civil complaints, suspicious activity, noise, drug related activity, and a bunch of other civil nuisance type of calls.

My oldest daughter, at age 18, moved to Berkeley with her best friend, age 20.

No claim history and not located in a flood or fire zone.

What documents do they require, what credit scores do they allow, how do they verify previous rental history, etc.?