Visa overstay

Do you need to get a visa to HK to do a visa run there?

depends on his passport. US, visa exempt entry for 90days.

His overstay, how many days? He maybe pay a fine before his exit. The OP needed to apply for a visa in HK.

If your husband’s plan is to get an ARC later, getting a visa for it in HK is not a bad idea.