Pedestrian access from LHR T4
I've a 11 hour stopover in London in a couple of weeks (LAS - LGW - LHR - MLA). Instead of doing the usual of going into town and sitting in the pub I though I might try and get a bit of walking done. I'm going to try to get to the Grand Union Canal from T4 via the River Crane by foot and then make my way along the canal towpath from there. My plan is as follows:
Arrive T4 tube
Exit T4 to Hilton via walkway (I don't think you can walk out of T4 to the A30 via the exit road from the pick up and drop off zone - is that right?)
Make my way from the Hilton to the A30
Head east on A30
Pick up the river crane just past Hatton cross and then head north under the A4 and to the Grand Union Canal from there
Does that sound feasible? Does anyone know if there is a footpath along the river crane all the way to the Grand Union?