NFL.com has a trio of mock drafts up from their draftniks Bucky Brooks, Daniel Jeremiah (former Eagles scout BTW), and Charles Davis. In all three, the Eagles go defensive with their #4 overall pick.
Brooks, who I've come to really like after listening to his draft tracker podcast, has the Eagles taking Georgia LB Jarvis Jones. As a guy who played and flourished as an OLB in a 3-4, he'd be a pretty easy fit as the Eagles look to transition to that front.
While many feel that Brandon Graham has the skills to play in a 3-4, the reality is that he hasn't done it. He was a hand on the ground 4-3 DE in college and has been the same in the pros. Trent Cole has been a 4-3 DE for his entire career and at this point you'd have to figure he's less malleable than the younger Graham would be. So having a blue chip guy that will instantly be familiar with the system would be a big aid as the Eagles make the shift to a 3-4.
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Jeremiah, who scouted for Howie Roseman and therefore should know a thing or two about how he thinks, has the Eagles taking Alabama CB Dee Milliner. Certainly the Eagles have put a premium on the CB position during the Reid era and while that era is over, it is where Roseman came up. Plus, CB is a premium position in virtually any defense, it's a big need for the Eagles, Milliner is the consensus top guy, so it's really not a stretch to see why the Eagles would take him regardless of their history.
Plus, in Jeremiah's mock Luke Joeckel, Star Lotulelei & Jarvis Jones all come off the board before the Eagles pick. So if that happened, their board would likely be a lot more open.
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In Davis's mock, the Eagles take Utah DT Star Lotulelei. Really, you can apply the same logic as the Jones pick from above. Star is a blue chipper who could slot in at NT in a 3-4 from day one. The team doesn't have anyone currently that's an obvious fit for that spot, so taking Star here would be both a big need pick and a tremendous value for a guy that some see as one of the top 2 or 3 talents in this draft.
With Star, Fletcher Cox & Brandon Graham the Eagles would have themselves a very young and very high pedigreed core up front.