Put another way, as long as the aperture and framing are identical, you will have almost the same DOF regardless of what focal length you shoot at. Backing up and reframing with a longer focal length would give you more background blur (not that you need it here) but would not increase your DOF. The only solution to get everything in focus would be to stop down your aperture.
As far as the correct value to use to get his entire head in focus, I'd refer you to the DOF calculator linked to above. However, keep in mind that the total depth of field it gives you will include space both in front of and behind your focus point. Thus, if your subject is, say, one foot deep, but you're focusing on his eyes, you'll need a depth of field of approximately two feet to get one foot behind the focus point. In reality it's not a 50/50 split between in front of and behind the focus point, but as you get further from your subject, it approaches it. Again, the DOF calculator above is your friend if you want to get an exact number. As Wilt mentioned, though, even at an aperture of f/16, your DOF is still only 2.6", so you may find it challenging to keep his entire head in focus with this framing and focal length.