Join Date: Jun 2010
Location: NYC
Programs: SPG Plat, Emerald Exec., PC Plat, AA, CO, DL, UBS Charter Card, Palladium Card, Amex Plat
Posts: 1,694
You are traveling on a national holiday. Mostly leisure travelers whilst the majority of elites are business travelers, so I would say your odds are fairly good and it will not compare in terms of upgrade chances to a normal Monday.
Also if there is availability you both will be upgraded on Jul 2, not T-24.