Usage of か after 出向く

Question

すっきりしたし司令部へ出向くか

From what I understand, this phrase is composed of:

• すっきり - Refreshing
• した - Did
• し - So/and
• 司令部 - headquarters
• 出向く - go to/proceed to
• か - ?

So the translation would be something along the lines of:

I'm feeling refreshed/rested, so I'll head out to the headquarters.

This phrase isn't used in a dialogue, but as a thought, so while normally I would think of this as a question, it doesn't seem to fit so well in this case. Is there a different meaning for か after a verb in a sentence like this?

Answer 1

There isn't enough context and the line could be ambiguous. But let's just assume this is a thought of someone who is talking about themself planning to do the action described here.

This sentence final particle (終助詞) か is explained here:

意思を表す。
さて、出かけようか。
そろそろはじめるとするか。

It works to convey your intention of doing something, but compared to the version without か in a way it's almost like tentatively running your idea by the listener and seeking their agreement. Here as described in your context, there is no listener, and the speaker is talking to themself. Without か the sentence sounds like the speaker is just stating a fact:

すっきりしたし司令部へ出向く
Now that I feel refreshed, I will leave for the military headquarters.

With か, on the other hand, the statement is softened and sounds more natural when one states one's intentions, when to oneself. The effect it brings to the line is almost like tag questions

すっきりしたし司令部へ出向くか
Now that I feel refreshed, I think I will leave for the military headquarters.
Now that I feel refreshed, I shall leave for the military headquarters, shan't I.
Now that I feel refreshed, let's leave for the military headquarters.