I just saw two episodes of ST:TNG for the first time. Going through the series. I have some clues by seeing some episodes in the series and reading most of the novels. Saw "Hide and Q" for the first time as far as I can recall. Earlier saw Farpoint and had seen it at least two times previously. Would like to get and read "I, Q" sometime but not quite yet.
Q's hamming up the starship does serve as a contrast. When he dresses in standard Starfleet uniforms, you fail to note as much contrast. But then you can be surprised. Surprise is the emotion of learning. No surprise, no learning.
Q lives in the element of surprise. The 'ah-ha' moments. The critical points in civilization even if they need to be created. It seems that invention and discovery which are so different to humans are very much alike to the Q.
The Q who have no need for discovery can be somewhat nonchalant about voyages of discovery or exploration. Or, can they?
I liked reading the book series of "Amber" by Roger Zelazny. Some characters travel by adding or subtracting to or from what they "sense" in order to change reality to suit them. Some characters reach out to retrieve what they want. A journey with a Q character along the lines of the Amber/Chaos lines (providing it does not come to resemble Babylon 5 too much) could be interesting. I notice that Q's log entry about the Enterprise was that it was like being stuck in Amber. Maybe a reference to the novelverse?
The opportunity to come to terms with power and godhood, a regular theme of ST, is always interesting. Q serves as a proxy/surrogate for God in a form that may easily be questioned and confronted.