Since discovering clues is an effect of a successful investigation action, you are still able to investigate this location with any number of cards in your hand. This allows you to commit matching cards to the investigation skill test, which gets them out of your hand in the same action as investigating. And on top of that, you can commit as many cards as you want to your own skill test, which can empty your hand more quickly than the three per action ability on the location, as long as they have the right icons.

You will need to use some other means (such as the ability on the location) to get rid of cards that can't be committed to an investigate skill test.