The only feasible solution would be to have only a little room for head-movement, say a couple of inches sideways and one inch vertically and use z-axis for zoom. This way, you would still be able to look behind a strut, but wouldn't see all the missing fuselage pieces.
Remember, when your head shakes in the game, the cockpit looks okay so it should be possible. Perhaps, as a downside, head shakes should be restricted then even more...
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