nobody else has said it but I will - are you absolutely sure that whatever path you choose you will actually have enough time to easily make 3 hours ahead check in at Terminal 5? There are so many opportunities for clangers to drop and stress to build.
Saturday is football so whatever route you choose may have quantities of footie supporters who can be a touch raucous on the way to a match. Traffic, accidents, breakdowns. Maybe nothing will happen and you will be singing everything is Golden.
I was taking my wife to the dentist an hour from home on this Thursday morning 2 days ago. The A14 and M6 were closed due to an overnight truck accident where they meet with the M1. I need to go that way because he is on the outskirts of Birmingham. I needed to be away no later than 10 am and the road reopened 15 minutes later. Whew! But the traffic left over was atrocious and it was raining and blowing hard. As I drove towards the M6 on the A14 I saw a broken down National Express coach on the opposite side of the highway, passengers in the rain milling about and it was protected by a single Highways England flashing lights SUV. Traffic was backed up at least 3 miles. At least I was going past in the opposite direction. This isn't made up - it was all part of my fun Thursday. Not to scare you, just to inject a little reality. (we got to the dentist 15 minutes early, taking 2 hours for a 1h05 normal journey)
But you will be coming from all the across Wales and then most of the way across England, to make a flight home in the early afternoon the same day.
Good luck, i hope it all works out for you. I think you are brave and courageous.