Look up these jackets:
Berghaus Attrition II - best hood I ever worn over a helmet with lots of kit in it, goggles , headlamp, visor hat etc.
Newest range of the ME goretex PRO jackets, redesigned hoods- amazing fit , works very well with bigger helmets plus the hood itself comeswith a silicone finish so it sticks better to the helmet.
Arcteryx Alpha - just make sure it's a larger size so it fits better.
RAB Neo Stretch , go one size up and it will be all rocknroll, using one now and I'm very pleased with the fit.
Mammut Gipfelgrat and Nordwand pro , amazing fit, all their softshells and hard shells easily take larger helmets.
Montane Alpine Endurance - great cut hood, will take any size helmet, great design.
Post edited at 22:04