Hmm. Green and Drake are definites for me.
In a 2 QB, I'd really like to keep 1 QB, but don't think it's less important to do so in a 10 teamer keep 3 -- particularly given your options. In that format, chances are that 15 or less QBs will be kept, and I don't think Prescott or Carr are in the top 15.
So I think my 3rd keeper would be between Hyde and Lewis. Basically a coin flip for me between the 2, but guess I'd lean Hyde for name value recognition more than anything and given that he's currently the 1A and likely to get the goal line work, whereas I don't think Lewis is (and won't get the goal line work over Henry). I do think Lewis will have significant value throughout the year though, so can in a bizarre way be considered the safer option to hold value throughout the year given that the situation in Cleveland could be more fluid with Duke's and Chubb's presence.
So at first blush, that's what I'd do. But if you feel the need to keep a QB, I'd keep Prescott over Carr. As I understand it, the standard Yahoo setting has QBs at 4 points per passing TD, so I'd prefer Dak's edge of getting some rushing production/TDs too.
Good luck!
Follow-up Question: Do you know your draft slot yet?