I wishant to spend the last part of summer in Korea, but I can't go anytime soon.

So hypothetically, I'if I was able to, I would plan to spend a week in Seoul.

I'd try to visit as many tourist attractions as possible, and also a few cafes.

Hypothetical sStay-cCation

We usually capitalize the first letter of important words in a title.

I wishant to spend the last week of summer in Korea but I can't go anytime soon.

This sounds more natural in the US.

I'd book a hotel room in a neighborhood a bit farsome distance away from the city center so I'd be able to walk there. (I enjoy taking walks and just sightseeing outside of a vehiclesightseeing while taking walks).

or

I'd book a hotel room in a neighborhood some distance away from the city center so I'd be able to walk there. (I enjoy sightseeing while taking walks instead of sightseeing from within a car).

Hypothetical stay-cation

A "staycation" is a vacation spent at home or nearby. What you are hypothetically planning doesn't sound like that, so I believe your title is misleading.

I wishould like to spend the last (part) of summer in Korea but I can't go anytime soon.

I'd book a hotel room in a neighborhood a bit farway from the city center so I'd be able to walk there (I enjoy taking walks and just sightseeing outside of a vehicle).

"A bit far" is not incorrect, but it sounds a little funny to me.

I'd book a hotel room in a neighborhood a bit far from the city center so I'd be able to walk there. (I enjoy taking walks and just sightseeing outside of a vehicle).