I thought I'd really quick upload the pattern I use for dim7 arpeggios. The top one is just to get from the G string to the A string more or less horizontally. I guess you could use it iteratively at the 2nd fret, 5th, 8th, 11th, and 14th if you wanted to do all the fret board. And, of course, I'm talking about the A/D#/F#/C dim7 that is in my scale of choice. If you were going to use another dim7, the frets would be different.
The second pattern is what I use when I want to move further in a fluid pattern
Naturally, I also use fragments of these two when playing. For example, I was strumming the Em rooted on the 14th fret. That voicing has a B on the A string. It was easy to slip up to the C from that B and just play around in the arpeggio 'til I arrived at somewhere I recognized. I tend to recognize things out the outer strings more. For example, if I wanked around 'til I got to the A on the 14th fret, I would totally be able to switch gears to a subdominant shape of the pentatonic or the A Dorian #11. That's cool as far as it goes but it is only the tip of the iceberg. I need to practice a bit more to change on the inside strings. That will be more musical and less scale-like. For instance if I arpeggiated to the F# on the 14th of the E string, I could move to the A Dorian #11, the C Lydian #2, the G Ionian #5, the B Phrygian dominant, or the F# Lokrian 13. There are a lot more options, but I'm just not seeing them. I have to work on my musical vision.
In parting, I have to say that I cursorily browsed a thread about plastic ukes. Of course I did not contribute because I had derisive thoughts and there's no need to publish those. However, one thing popped out to me. People commonly used camping as a pretext for the plastic instrument. Anyone can look at this thread and see my commitment to our instrument. I play mine most days. Yet, there is a time and a place for everything. If I were hunting, fishing, or camping, the last thing I would want to see is someone pull out a ukulele. If I am out in the woods I want to sit in peace, not hear some tin pan alley song. I know it is weird and weirder still, I hate buskers. If I am in public space, I think it should be a neutral space where all peoples can pass through without being assailed by other people's noise, let alone being dunned for money to experience this annoyance.