Why would he be on the C2 dragon? He's shown the ability to control his other bomb's manuallyDoesn't matter. Deidara's C2 Bird lacks mobility and struggled evading Sasuke's Shurikens. Actually, with feats, he wouldn't even be able to perceive FRS.
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I see no reason why he can't to do the same for the C2 dragon. Everyone assumes that he has to be on the explosives in order for them to move which is clearly false, he'd be on the more agile C1 bird that can avoid the FRS while having the dragon attack from elsewhere. If Naruto wanted to deal with it he'd have to take his attention off of Deidara for a bit, although I suppose summons would be helpful here.