Wow, glad I saw this, and very glad I can be of help. I was a Peace Corps vol in Korea, 1971 - 73, and taught epidemiology there at a STEM university, 2016 - 2019. So, two places that would love to have those photos:
This sort of thing is important to Koreans. My wife is Korean royalty (obviously not ruling, thank heavens), but as such preserving and reclaiming history and culture is very important to her and the Korean people.
There’s a couple of organizations that can help. The National Press Photographers Association, NPPA for short. And The National Geographic Society. Not sure where in the country you are but it would be worth getting in touch with either or both. Make copies of a few of the photos for email purposes and connect with the history/archive folks of either.
Please be ready to hear "no thank you". When I worked at a museum, we were constantly contacted by families wanting to donate their father's or grandfather's war memorabilia. Unless the items were of significant historical importance, we always said no. We just didn't have room to store things that didn't meet our display criteria.
I'm not trying to discourage you, but I want you to be prepared. If NEVER hurts to ask around, but museums and historical societies have limited space. The items are much more likely to be taken if there are dates, names, and locations included. This cuts down on the work archivists, curators, and volunteers have to do. The more info you can provide, the more like you are to get takers.
Good luck and I hope you are able to find a place!
I'm and archivists and I'd like to help you get these photos to the right institution or collection. I was wondering if you might be willing to share some more information about the photographs about the photo album since most archives have a collection policy that helps to focus the scope of new acquisitions.
For instance if the photos are labeled, do they indicate that they are taken in Japan or Korea? What is the subject of the photos, military life, civilian life or a mixture? An archivists will want to know the rough subjects and scope of the album.
There may be a regional repository that will take local veterans materials. Depending on where your grandfather grew up they might be interested in this scrapbook too.
I looked to see if there was still an museum for the Korean War and it looks like their collections were moved to the Harry S. Truman Presidential Library and Museum in Independence, MO. After a cursory glance, the Truman Library doesn't list the collections on their site so that may not be the best option but you could try that. I think that a local historical society or museum might be more of a right fit though.
Feel free to DM with any questions, I'm happy to help.
If he was an American serviceman, the best place to get in touch with is probably the Veterans History Project at the Library of Congress. They would be interested in material such as this to add to their collection and preserve. Check out their page here: https://www.loc.gov/vets, and you can find the full criteria of what they accept here.
For photos, they need collections to include at least 10, and only take the originals, but that doesn't seem to be an issue here. I would very much encourage you to pursue this option as it will allow for the preservation of the items, and also make them available to other researchers through the Library of Congress!
You can also find more information about them from the AMAs that the organization has held with us in the past:
https://www.reddit.com/r/AskHistorians/comments/3zevmy/ama_the_library_of_congress_veterans_history/
As a more general note for people looking to donate items, if you don't have the original, or wouldn't want to donate the original and only copies, they provide a list of other places which might be interested in different criteria, although I would of course note that each one will have their own preferences as to what they are looking for, so many may be false leads.