A question I've always had about FTL travel is: How will you see? Imagine how it would look if you were moving faster than the light around you; You'd only be able to see the light that impacted your eyes, which means only certain directions would be visible to you. Turn towards the back of the ship and you're blind, turn towards the front and you're bombarded by particles moving way, way faster and with more energy than they're supposed to, relative to you.
Bay12, how would you fix this?
Any practical method of FTL travel across normal space would (should? could?) require that the traveller be wrapped in what, for want of any better way of putting it, is like the Star Trek 'warp bubble'. Normality of space acts within that (or at least approaching its inner edges, thereof).
Whether or not that space-warping mechanism also intrinsically deals with incoming particles, such that particles ploughed into get 'shifted' into a kind of 'normality' so that you can see forward (a method for which a Handwavium shielding system would doubtless be required, in the first place), there is if course still the problem of not being able to have any input to the rear. Except, of course, for the particles that are heading in your direction (emanated from objects now behind you) that you overtake. Which your Handwavium conversion shields might well allow to enter the centre of your normality bubble from the rear, as if being a 'proper' rear view.
One reason why I think FTL travel is more elegant not through moving warp bubbles at FTL speeds (not counting numerous relativity effects) but instead via 'short-cut links' of some kind. Capital-'D' "Doors" in space that lead directly to other Doors. No problem with travel, it's wormholes (X-treme!) or similar, all the way.
Noting that elegance is no guarantee of likelihood. I know that, but it's a good start until shown otherwise.