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How fucked is the plasterboard?
Gripit fixings are good. You'll need a spade bit to use them though.
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I've had a consistently unpleasant experience with these... even in our new build with perfectly solid plasterboard walls, they have a tendency to pull out and gouge huge holes in the wall. They also leave colossal holes (at least for the larger size ones) which are a pain to patch.
I've now replaced all of these (where they existed) in our house with hollow wall anchors. Much easier to set, much more solid.
If you can only find one of the studs in the wall, and you want to put a coat rack up. And the plasterboard is fucked.
Is it:
cut piece of wood to the width of the wall. Screw multiple screws into wood into stud. glue the fuck out of the rest to the wall.
Then mount coat hooks to wood?
Or
sell the house
burn the house
get someone else in to do the job properly