Got knocked off last Novemeber. Similar story but did not get the details of the lady who hit me and also felt like you are regarding police seemingly caring more about her then than me considering they called her later on to check of she was OK and didn't bother to contact me despite having concussion, dislocated shoulder, sore back etc plus bike was a write off.
I would either do as you state above and get in touch with CTC who will probably pass you on to a proper law firm dealing with claims such as this. Or call your own lawyer and see if he/she can follow up a claim. Make sure you catalogue all equipment damaged plus cost of replacement and get a bike shop to check over the bike. If you've got them keep the names of the police officers who were at the scene and also book an appointment with your GP for some time in the next 7-10 days as injuries can take a few days for them to manifest themselves 9stiffness etc).
I would not bother contacting the driver unless your sure she might want a quick resolution to the potential costs etc. I did not have cycle insurance at the time and did not hear anymore about potential damage to her vehicle. Sounds as though it is completely her fault.
Hope you feel better!