The information that they want in the request is provided in this article on the official blog:
https://disneyprogramsblog.com/?p=3449
Just gonna copy the relevant info to DIS:
College/Culinary Program - Florida
After you have received an offer, contact
wdw.housing.yield.management@disney.com with the following information to request offsite housing:
Full Name
Candidate ID
Program Dates
Address (where you will be living in Florida)
Contact Phone Number
The date you paid your Program Assessment Fee
College Program - California
Discuss your interest in living off-site during your interview, as you must make this decision pre-offer.
Professional Internships - Florida
A limited amount of company-sponsored housing is available on a first come, first served basis. Participants are given information on housing options at the time of offer.
Professional Internships - California
At this time, there are no housing opportunities available.