Had a friend inquire with the firearms division and here's what I was told.
Simplest way is to have the executor of the estate write a letter stating transfer of ownership to individual (in this case me), and that with the DC, could then complete the transfer at HPD. In this case, we don't have an executor designated. We'll have to go through probate for the house anyways, but that would take time. We recently went through the probate process for my grandmother's estate and it was easy. One of my best friends is an attorney that does estate planning and admin law, so with his help, it went smoothly. Just takes time. My follow up question that my friend will try to track down is that is does the "complete transfer at HPD" mean just need to register, or have to go through the permit to acquire process.
Without executor for the estate, have to transfer the firearms to FFL. It was explained (I suspect some speculation or perhaps message not conveyed fully) that that FFL process includes verifying both a background check for me (same with any purchase), as well as a check on previous ownership of the firearm. The latter part, I am not so sure of, but that's what I was told. Then once that process is complete, then can complete transfer at HPD. Again, question for clarification was does that mean transfer or have to go through the permit to acquire process.
From my reading of the HRS, I THINK that in both cases, I would need to go through the permit to acquire process, particularly for the handguns. However, if one route does allow for simply registering the firearm, I would like to explore that. At this point, I THINK I'll have to go through the whole permit to acquire process, which includes Rapback. But will see. . .
My buddy is supposed to try to follow up with the firearms division today. He and his brother are the ones that had some experience with this process as part of purchase of an estate sale of firearms. Full disclosure, my buddy is a cop. I do NOT want this thread turning into a cop bashing one as from what I have seen, he has gotten NO preferential treatment, and that was even when his former partner (who remains a good friend of us both) was assigned to the firearms division.
§134-2 Permits to acquire. (a) No person shall acquire the ownership of a firearm, whether usable or unusable, serviceable or serviceable, modern or antique, registered under prior law or by a prior owner or unregistered, either by purchase, gift, inheritance, bequest, or in any other manner, whether procured in the State or imported by mail, express, freight, or otherwise, until the person has first procured from the chief of police of the county of the person's place of business or, if there is no place of business, the person's residence or, if there is neither place of business nor residence, the person's place of sojourn, a permit to acquire the ownership of a firearm as prescribed in this section. When title to any firearm is acquired by inheritance or bequest, the foregoing permit shall be obtained before taking possession of a firearm; provided that upon presentation of a copy of the death certificate of the owner making the bequest, any heir or legatee may transfer the inherited or bequested firearm directly to a dealer licensed under section 134-31 or licensed by the United States Department of Justice without complying with the requirements of this section.