Thank you for your post!
You are correct--remote profiling is not possible with the profiler, I'm sorry to say.
Regarding installing on the client's machine..
If the profiler has never been installed there before, it will actually install with a 2-week trial. However, if need be, you'll just need to make sure one of your activations are free if the trial has expired and you need to go ahead and activate on that machine.
I hope this information helps!
Red Gate Software Ltd.