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Yes, that's conceivable. Another point in favour of your hypothesis is that it seems more probable that Radagast would move from south to north, rather than vice versa, as Dol Guldur's power increased.
On the other hand - let me take one more stab at my proposal. Suppose that at the time when Elrond sent out his scouts, Radagast was at neither of his homes (off on an adventure somewhere, perhaps). The scouts passed over the Gladden fields and visited his southern home (the one not named Rhosgobel). Finding him not there, they went northward and visited his 'old home' at Rhosgobel, between the Carrock and the forest road. He was not there either. That would, I think, satisfy the letter of what is stated in LotR, if not the spirit. One could further suppose that he did not move south until after Sauron had returned to Mordor - at which time the terror of Dol Guldur would have been somewhat reduced.
Again, this is just an entertaining exercise as far as I'm concerned. I would be very, very surprised if Tolkien had any such convoluted concept in mind.
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