I agree. Although that would make all the US single choices very predictable. But they deserve the single treatment.
As for UK, Rumour Has It next & than a suprise 5th single like I'll Be Waiting.
I think if they continue singles after the 4th (if there's a 4th), I'd be happy with TT or IBW. I feel IBW would be a nice AC/Hot AC/Urban AC hit, not necessarily pop, which would be fine.
I'm not usually okay with it, but in Adele's case I'd definitely be okay with releasing different singles in different territories. Namely, Rumor Has It, Turning Tables or He Won't Go in the US, and Don't You Remember, One And Only or Hiding My Heart everywhere else.