Jess, what kind of DIY hunt do you want? Are you looking for a drop camp on a lake/river, maybe a drop camp with access to a boat, a float hunt, or a hunt that you can rent ATVs and drive into? Are you looking for semi-outfitted, meaning someone will provide gear and maybe food, or are you bringing your own gear/food? How many folks are you looking at hunting with? Try to narrow your scope and really, truly decide what method you would like to do. Each has their pros/cons, but one thing everybody has mentioned that is true, is that all methods for moose are HARD WORK! Drop camps are great, but you are limited in the area you can cover. Many times, the moose doesn't come out where we might like them to and you have go after them. More so than elk hunting, the fun ends when you pull the trigger. A fair sized bull moose dwarfs even an exceptionally large bull elk. Packing a moose over a mile isn't very much fun, and when you throw in swamps, muskeg, and alders, even less so. I know you aren't scared of hard work, but I just want you to realize you may have to hunt further out on a drop camp than you really might like. Having access to a boat on a river or lake can open up more territory.
My personal favorite is a float hunt. You mentioned that you are looking for the experience, then this is right up your alley. I believe out of all of the methods, this requires the most work, but is very fulfilling for an adventure. Depending on where you go and how many miles of river you have to cover, and how many days you have in the field, you can take your time. Don't try to cover 150 river miles for a ten day and expect to properly hunt an area. As far as other people on a river, yes you most likely will see more float hunting than on a drop camp. But, Alaska is huge and the amount of territory to hunt on a good float is usually immense. My last 2 float hunts, I saw a total of six people in 2009 and 6 in 2010. It's not really a big deal considering there were only 3 parties on the river, and one group had 4. Also, a key point to remember is that rivers are highways for moose as well as people. Moose will walk up river, down river, and across rivers. On float hunts, I have packed moose as far as a mile and a quarter or so, and as little as 6 feet.
With moose hunting, hunting first thing in the morning or late in the evening aren't always the best times. I've not been on a guided hunt, so maybe FullCry can chime in about the best times in his areas, but my last 2 bulls have come at 1030am (2009) and about 330pm (2010). My partner shot one of his bulls right at dark on one float. You are not going to miss good hunting time float hunting, as whenever you are out in Alaska on a river can be the good hunting time. I've floated at all times of the day and have seen moose at all times of the day.
You also need to be realistic about harvest chances. I know you mentioned it isn't a big deal to you, but maybe to others it is. In a good area, you can usually harvest 2 bulls for 2 people, if you are willing to do the work. In a party of 4, the chances of everyone filling their tags goes down, especially with a drop camp. It can be done, but it is harder.
Everyone is going to say thier way is the best (as noted, I am partial to mine as well), and each method of moose hunting offers something different, you just need to decide what experience you are looking for. As others have mentioned, I highly recommend to do your research. Pick a quality outfit that limits the number of people they place around you, whether drop camp, lake/river hunt, or float hunt. Read the post by FullCry that he attached for DIY hunters. He offers a lot of great info and is willing to answer questions. He is also a registered guide, has lots of experience hunting Alaska, and is a true expert.
Sorry for the long-winded post, but the bottom line is what experience (method) you want from your DIY Alaskan Moose hunt. Once you decide that, then you can start researching areas/transporters.
I hope this helps.
Good luck,
Garion33