Marriage location, spousal v fiance, and other Qs

[UreshiiOtoko]

Well, a week ago I asked the girl of my dreams to marry me, and she said yes
I am still euphoric, but the reality of some of the details is starting to creep into my mind, and one of the foremost of those is her immigration. I started to poke around on the USCIS site, and have a rough idea of our options, but it is a little overwhelming and I have some questions. Hopefully, some people here can provide suggestions or advice.

Here is the situation: I am a US Citizen, and a resident of New York state. She is a Japanese citizen residing in Tokyo. We plan to live together in NY once we are married. Ideally, we'd like to have the wedding ceremony in Tokyo, since it is easier for my friends/family to travel there than for hers to travel to central NY. Finally, we have some time before the wedding, it is at least a year off (she has some business commitments to honor in Tokyo, and we want time to save some money up for the wedding itself).

Now it is my understanding from the USCIS site that we have two options:
1) Have a legal marriage in Tokyo, and then file a I-130 Petition for Alien relative. If we did this, though, there would be a wait period between our marriage and when she can legally come to the US to live, right?

2) Get a fiancee visa for her. Once it is approved she has a 180 day window to come to the US, once she comes to the US we have 90 days to get married. After we are married, she'd file a I-485 to adjust her status to permanent resident (along with a petition for Advanced Parole so she could leave the US for trips abroad while waiting, correct?) If we did this, it seems like we'd have the least "separation time" ... that is once we were married in the US, she'd be able to remain here while waiting for the I-485 to go through - she just couldn't leave the US until her Advanced Parole was approved, right?

So, assuming I have my facts above relatively correct, the issue we are wrestling with is how to best coordinate the location/timing of the wedding with all this immigration fun. If we want to have the wedding in Tokyo, is our best option to have just the ceremony, and not file any marriage paperwork in Japan? (I believe the actual legal marriage in Japan takes place at a district office, and is not part of the ceremony, though we have to research this.) Then, she'd enter the US with a fiancee visa, and get our legally binding marriage.

I think the thing we don't want is to get in a situation where we are married but unable to live together in the US for who-knows-how-many months. It seems like if we had our legal binding marriage in Japan, this is what would happen.

Any thoughts, ideas, or suggestions? Are there any other options to consider?

I want to make sure we do everything correctly and legally. And as I said we aren't in a hurry to get to the wedding, so hopefully we have time to get everything worked out!