If I had to pick tomorrow (for the summer) I would go for:
Hart, Forster, Heaton.
Cahill, Clyne, Jagielka, Rose, Smalling, Stones, Walker, Cresswell.
Henderson, Dier, Drinkwater, Barkley, Alli, Lallana, Sterling.
Kane, Sturridge, Vardy, Rooney, Welbeck.
Rooney goes as captain but not in the first team, and is no longer captain after the Euros. Welbeck makes it ahead of Walcott as he's a bit more versatile and a better athlete. We don't need Milner's versatility with this squad, although he could make it in at the expense of Lallana or Barkley if you had to find a place for him. Hart should be fit in the next two weeks, but I wouldn't take Shaw or Wilshere as they're not going to have had enough football this season to justify it, and Cresswell has been impressive this season and deserves it. No point taking Baines as he hasn't been better than the two in this squad and although he's a bit more experienced, he's not significantly so and at his age, better to give the experience to another.
Who's guaranteed a start? Hart, Dier, Alli, Henderson, Kane. Everything else us up for grabs IMO.