I dont trust any of the meet and greets since i watched a program a couple of years ago where they placed a GPS in a Audi S4. It got ragged to death and he "secure" car park turned out to be some wasteland the other side of Poyle. It had covered over 130miles when the "owner" came back to collect.
I personally use the T5 Long Stay using the link from BA.com, the directions are rubbish, but its always easy to get to/from T5. Its a good price to in my opinion.
Ive never seen any offers on short stay, where are these seen?
Also while were on topic, where is the Parking for the Sofitel??