I went to Aomori(AOJ), a nothern city in Japan recently, I will explain what the northern airport was like.
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About airport

Aomori is famous (within Japan) for apples and Tuna.

Korean Air(KE) has a service to AOJ, which surprised me.

Also you can take regional airlines, “Fuji Dream Airlines” to go to Nagoya(NKM).

Mind you, it is not Nagoya Centrair(NGO) but Nagoya Airfield(NKM).
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How to connect to Wi-Fi

You can select ‘aomori-airport’ SSID.

You need to fill in the password, you can ask the information staff or shop staff for it.

Speed

Uploading : 5.63Mbps
Downloading : 9.78Mbps

It was a good speed.

I felt no stress.

Conclusion

It sometimes happens that when you travel from North Asia to Europe, it’s cheaper to fly from Seoul(ICN) than to fly from Tokyo(HND/NRT).

So it might be a good option to go to ICN from AOJ, then go to Europe by KE, or Asiana Airlines(OZ).