I think what Doc would do is increase Delonte's minutes, and then have Ray play a lot of backup SF, like he seemed to last season.
So, let's say you want to keep Ray and Pierce around 35 minutes each. You have Pierce play his 35 at SF, and Ray plays 25 at SG and maybe 10 at SF, with some of the deeper bench playing the other 3 minutes. The other 23 minutes at SG could be split between Delonte and Nate (primarily Delonte).
Obviously, details could be tweeked, but that's what I expect Doc's gameplan would be.