In NC your spouse is entitled to 1/2 the marital assets. You can not get rid of property or assets that could potentially be hers or would need to be divided. The home, can either be refinanced if her name is on the mortgage and she can sign a quit claim deed to remove name from the deed.
Since she has moved and not taken any of her stuff with her, you are responsible for those items until the absolute divorce.
I suggest two things. First, get a separation agreement drawn up so that it will state what furniture, and other household items belong to each of you. You can consult with an attorney for this or get a DIY divorce kit. Send this to her. If she does not sign the agreement, you can wait until the absolute divorce is final and then dispose or use the belongings.
My suggestion is that you also include a time frame that the items belonging to her are “stored” at the home. You can also have put into the agreement that after that time is past, if the belongings still are not retrieved, they will become your property to dispose of or use at your own discretion.
The other option would be to have her pay for at least 1/2 the shipping cost to have the belongings sent to her.
I have a friend who moved all of his wife’s stuff to a storage unit, paid for the first month and gave her the key. He told the manager that she would be responsible for any payments after the first month.