Brian Schatz is a white male, but he's also Jewish. So he does have the 'minority thing' covered.
Other possibles not previously mentioned
1.Martin O'Malley if he runs well
2.Jack Merkl
3.Tom Vilsack
4.Elizabeth Warren
5.Maggie Hassan
6.John Lynch
7.Anthony Foxx
8.Sherrod Brown
9.Jack Reed
10.James Webb if he runs well
11.Gary Locke
12.Kirsten Gillibrand
13.Maria Cantwell
14.Sally Jewell
15.Sylvia Burwell
16.Ken Salazar
17.Janet Napolitano
18.Jeh Johnson
19.John Kerry for the ultimate ticket.
Considering that Jews are overrepresented in the Congress, I'm not sure they count as minorities.
As for your picks.
O'Malley's bland, but if he runs a solid campaign, he'd be a relatively safe choice.
Vilsack will be an elderly guy who also served in the Obama administration. I really don't see Hillary picking anyone elderly without extraordinary circumstances. That'll exclude Jack Reed as well.
Warren doesn't seem interested in national office, and doesn't add anything demographically (Northeastern elderly woman) although it's plausible that they'll add an advocate for populist policies. It would be a major risk.
Democrats want Hassan to run for Senate in New Hampshire, and her qualifications aren't that impressive. If she picks a woman, it would likely be someone impressive in soem way.
John Lynch is a bit old, but an immensely popular former Governor isn't the worst pick.
Foxx is plausible.
Brown would be great if he were ten years younger. It would be a ticket of people who have been in politics for decades which has some negatives.
Webb's gone pretty negative against Clinton, and might not have the ideal family life (twice-divorced with a much younger third wife.) He's also pretty old.
Jewell and Burwell haven't face elections.
Jeh Johnson has a strong defense record, but that's an area where Hillary's strong. He could help with African American turnout, and seems qualified. He is a New York trial lawyer though.
Kerry doesn't add anything to the ticket, and is an elderly guy with plenty of baggage.
I have no idea who Jack Merkl is.