Hi, I have a 7 hour layover at LHR tomorrow (en route from US to India). I'd love to go for a run/jog near the airport if possible. Does anybody know any routes nearby? I'm looking to do around 5 miles but more or less is fine too.

I will also be arriving on AA and departing on BA. So if anybody has any ideas on how to store luggage that would be great. I can go from T3 to T5 and store my luggage at the BA First lounge, but then I don't think I'm allowed to exit T5 at that point?

Thanks!