I'd say that you're stuck now and to get forward you propably need to remove the motherboard.
After that the route is something like fan, heatpipe, mechanical connections, electrical connections.
I have one of those original dv6 machines, it has a design fault, hot air goes back in.
Should be remodelled away now.
Generally I think we are doomed as long as BGA and lead free soldering is combined.
(they say that Xbox360 mobo is bent from the factory)
Other thing is tin whisker, a conductive hair like thing growing from solder.
If that's your case then heating them off is the only solution.
(hot air gun, oven, infra red etc.)