Original Poster.
I have a Chimaera and have never tried carrying a bike although the boot is certainly big enough to take the component parts.
Wheels would definately need to come off. Length of the forks may be an issue, although the boot is deep a long travel fork is questionable.
I can measure it if you are really interested.
Overall width of the boot is long enough to take the frame, again height could be an issue, so seatpost removed. The spare wheel sits in the boot but it's a space saver tucked in the right hand side, can be taken out for more space. Many people carry tyre repair / inflator in a pressurised container instead of the spare.
You will end up dismantling a lot of the bike but it could be done.
Re: Bike Rack. The boot / bumper construction is all rounded edges, so finding a fixing point would be difficult.
Drilling fixing holes would be difficult without damaging the paintwork or causing cracking in the fibreglass. The boot lid is very strong and a fibreglass specialist would advise you but I would never consider drilling holes in the boot lid.
Re: Towbar.
I have never seem one.
I seem to remember that this question has come up on the Pistonheads TVR Chimarea forum, you could try a search there or post the question.