A lot of the universities mentioned in this thread are quite likely to be using the LNAT next year anyway, so I wouldn't get my hopes up too much.
I only decided in December to apply to do law, I didn't have the time etc to prepare and sit for the LNAT. Out of all the LNAT universities, I think I would have seriously considered applying to one of them (UCL). Sure I would have loved to have applied to Oxbridge, but being realistic I was way too late for their deadline and probably had a 0.00000000000001% chance of even securing an interview!
As it goes I applied to in my opinion the two best non LNAT schools, (LSE and Warwick), Manchester which is also good, Southampton, plus Northumbria and Bournemouth.