Join Date: Feb 2009
Location: From ORK, live LCY
Programs: BA Silver, M&M*G, HH Gold, ABP, Seigneur des Horaires des Mucci
Posts: 14,920
You might get AC to interline your bag on the way out. No chance BA will do it on the way back as it strictly only interlines to other oneworld carriers unless it's a single itinerary.
3 hours is enough time to collect and recheck your bag in LHR, but only if nothing goes wrong.
As mentioned above, if you do misconnect, you're boned.