No, you have options. You can store them with someone "in the event of leaving the country for an extended period". With a licensed friend or a business. With TSE even :P
And a serious question for TSE: could someone have you buy a handgun for their exclusive use? i.e. it gets stored at the range permanently but only that person can shoot it. (i.e. central storage) This is the model for handgun ownership in Russia as an example. I'm not personally interested but someone might be...