Guys I would really appreciate your help with this song.

F9 | Bb13 | F9 | F9
Bb13 | Bb13 | F9 | A(half-dim) D7#9
Gmin7 | C9 | F9 D7#9 | G-7 C9

It's just obviously just a blues though my aim is to play the changes
opposed to mindlessly messing with the F Blues/Minor/Dorian

At the moment some of the ii-V's go by too fast to arpeggiate
I've been using the arpeggios of each chord and for the dominants have been using
mixolydian along with arpeggios

My problem is that it seems that because this blues goes pretty quickly I'm just running arpeggios with no musical ideas. I'd really appreciate your help
yeah, this one's difficult... My teachers solo's are amazing though. He said he's been playing the song for so long he doesn't have to think about the changes anymore since he knows them by heart.

How about you try mumbling/singing a solo that you'd like, and then try it with your guitar?
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figure out voiceleading things (particularly when one chord tone becomes, or moves by half step to another), and target them in your lines--particularlhy the way thirds, sevenths and roots move around.
for example, in the first four bars, the A of the F9 can move up by half step to Bb, or down to Ab, then up to A again. the Eb can move down to a D then up to an Eb again, etc. the tune's harmony is full of little melodies like that and playing with and against those will give you the sound of "playing the changes".
all the best.
(insert self-aggrandizing quote here)
make sure you know where your guide tones are (3 and 7 of the chord) for each chord
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I'd start by listening to blues solos in the bebop style. That's what this tune is, so what better way to get more ideas than learning from the greats? Don't just listen to guitar music either, steal ideas from everyone!