Visitors don't qualify. The I-94 must be accompanied by valid immigration documents. The only docs they accept are those from immigration that prove you have legal status to reside in the US. There is a table of acceptable docs at http://hidot.hawaii.gov/hawaiis-legal-presence-law/ but here are the ones they accept for the "legal presence" portion for non-US citizens (obviously, for citizens, the usual docs apply, passport, GC, BC etc.):

Non-U.S. Citizen – Valid DHS/USCIC I-551 Permanent Resident Card issued since 1997
Non-U.S. Citizen – Valid DHS/USCIC I-688 Temporary Resident Card
Non-U.S. Citizen – Valid DHS/USCIC I-688B, I-766 Employment Authorization Card
Non-U.S. Citizen – Valid Foreign Passport with Appropriate Immigration Documents. If applicable, valid unexpired U.S. visa affixed accompanied by an approved I-94 form, if the I-94 form is not automated.

Non-U.S. Citizen – U.S. Dept. of Receptions and Placement Program Assurance Form (Refugee)
Non-U.S. Citizen – DHS/USCIS I-797 Notice of Action
Federal – Valid DHS/TSA Transportation Worker Identification Credential (TWIC)

And if you did manage to squeak through, they will issue a temporary license valid only until your visa expires. But they are very strict now and won't even talk to you without green card or valid immigration documents allowing you to reside (not visit) in the US, even if only temporarily. I was not able to renew my Hawaiian DL even with a SSN, IRS records, property tax statements, even an expired I-95 work visa, etc. Owning property does not give you any residency status.