Busbo,
BA is full of commuters, they make it work and I'm sure you can too. If you are half interested, go through the process and see what you get offered. I'm sure you wouldn't be disappointed with the job but you will certainly add complexity into your life. You will spend a few nights a month at a Heathrow hotel if going posh or a B+B if not, you will have a new hobby swapping trips and checking ibid and find all sorts of shortcuts to get your flight home on time. The big question when flying for a loco (which I did for many years too) is, can you keep on doing the same kind of flying until retirement? Variety is the spice of life and BA probably has as much variety as you can hope for in an airline.
If you are 320 rated, you may well find the offer is not for long haul in any case despite the current campaign.
Good luck
PK