Hi Toni,
Non of the hotels are withing walking distance to T2 so you will need to use the hoppa buses or free service bus (if in the free flow area).
Best bet is one of the hotels along Bath Road but not essential.
I use "holiday extras" for a hotel/parking deal, i also take the gamble and take one of the mystery hotels, just got the Park Inn (4 star) with a weeks parking at the hotel for £69 using this method.
If you are more confident using the hoppa rather than service buses they will add your tickets for transfers to the cost.
Mick