What grades do you think you'll get? That would help us give some more suggestions
For universities with relatively low requirements but that are well respected in engineering and particularly aero and motorsport, I would also look at Oxford Brookes, Swansea, and UWE. Don't worry about RG for engineering, e.g. Bath and Surrey are two non-RG unis with very good reputations in engineering. Even at postgraduate research level, which is where the RG part should actually be relevant, it's not too useful as e.g. Strathclyde isn't RG but is one of the places to be in the world for Wind Energy research, or UWE shares the Bristol Robotics lab which is another world leading institution.
I also wouldn't pay too much attention to the MEng/BEng grade requirements if they're different, just pick the BEng and then transfer to the MEng after you've met the grade requirement for switching (usually 2.1 in your first two years, though some will ask for lower e.g. Sheffield only needs 54.5%).