if it is a switching supply recapping can be tricky. They are often very picky about the caps in certain parts of the circuit.
It "sounds" like there is a problem with your supply that needs fixing. If it worked fine before and just started happening, then I would suspect the supply. If it has always had a little problem, then I would also suspect grounding in the system. Always ask the question, what has changed in the system? then investigate that.
I haven't looked inside one recently, but many "proprietary" supplies are really just off the shelf oem parts wrapped up in a vendor box. You may be able to cross it to one off the shelf. Often even to the same correct connector.
Open the supply up and see if there are any bulging caps. If it is the large input cap, then that is a pretty plain jane cap that is easily replaced, and often the culprit. Only inspection can tell. You could post a picture here if unsure.
Cheers
Alan