I am also planning a trip to Phoenix in February and called every hotel on this list. Here's some info that may be helpful to others (according to each hotel's front desk staff):

Residence Inn by Marriott Phoenix Desert View (7-9 minute walk / 0.3 miles)
5665 E. Mayo Blvd. • Phoenix, AZ 85054
(480) 563-1500 — Press 3 for front desk
Shuttle to Phoenix Campus 7 days a week, 5am to 8pm, come to desk ~15 min prior

Sleep Inn at North Scottsdale (10 minutes / 4.1 miles from Mayo Phoenix)
16630 N. Scottsdale Rd. • Scottsdale, AZ 85254
(866) 477-6424
Shuttle to Phoenix Campus 7 days a week, 7am to 9pm at request

Hampton Inn & Suites (10 minutes / 4.1 miles from Mayo Phoenix)
16620 N. Scottsdale Rd. • Scottsdale, AZ 85254
(480) 348-9280
Shuttle to Phoenix Campus 7 days, 7am to 9:30pm, get on schedule the day before

La Quinta Inn & Suites by Wyndham (15 minutes / 9.3 miles from Mayo Phoenix)
8888 E. Shea Blvd. • Scottsdale, AZ 85260
(480) 614-5300 — Press 5 for Front Desk
Shuttle to Phoenix Campus, must book in advance by contacting general manager

Hampton Inn & Suites (19 minutes / 8.5 miles from Mayo Phoenix)
10101 N. Scottsdale Rd. • Scottsdale,
AZ 85253
(480) 443-3233
Shuttle to Phoenix Campus M-F, 7am to 3pm (desk girl was not certain of hours)

Sonesta Select Scottsdale (22 minutes / 13.4 miles from Mayo Phoenix)
13444 E. Shea Blvd. • Scottsdale, AZ 85259
(480) 860-4000
Shuttle to Scottsdale campus, 6am to 6pm
+ Mayo runs a free shuttle service between the Scottsdale and Phoenix campuses between 6 a.m. and 5:30 p.m., Monday through Friday. Service is every half-hour.

——— Consider removing these:
Cambria Hotel Phoenix – N Scottsdale (9 minutes / 2.6 miles from Mayo Phoenix)
4425 E Irma Ln. • Phoenix, AZ 85050
(480) 585-6644
Front desk said no shuttle service is available

Sonesta Simply Suites Scottsdale North (16 minutes / 9.6 miles from Mayo Phoenix)
10740 N. 90th St. • Scottsdale, AZ 85260
(480) 551-1100
Front desk said no shuttle service is available to Phoenix Campus (but I didn’t ask about Scottsdale campus)