I never replaced a socket but did with big TV CPUs chips, so i can contribute with my experience and opinion. I also have The quick861 and preheater.
Would the Quick 861DW plus a preheater be up to the job:
Yes, it maybe need some tries to get you done but it will. You need to get everything on spot (Temperature, distance, airflow) all that will affect the job. Plastic must not melt or deform, so you need the perfect 3 variables to do it right. Airflow should be low to not push balls down/smash or short. Also you need a good nozzle to cath whole area. Go slow.
Would IR be better? (I worry about the hot air disturbing the caps in the centre of the socket):
IR would be better of course, you remove the airflow variable and have phases.
(I worry about the hot air disturbing the caps in the centre of the socket): Thats not a problem, if parts are welded they will not go anywhere, i use max airflow on quick sometimes to remove or weld leg ICs, nearby caps don't go anywhere, they move right and left when i move the handle but they never pop or jump from the weld place, anyway you don't want to go max airflow for BGA solder never! 40-50 is a good value for me. Distance will also count.
So both tools will do, IR need less pratice and will simplify the work. Otherwise quick will also do but maybe you need to ruin a socket or two to learn and master.
Quick is a must have for repair and rework. Invest in the tool you will use more often or the most profitable to you.
Also be carefull desoldering the old socket, big area, more bgas, you can rip out pads easy, make sure every ball is melt before lift, touch left and right whole socket must move then you know you can lift