[Sergej Mag]

I had a similar situation. I had to repeat the movement and the occasional long pauses. Maybe my expression is useful to you.
and see more random rotation with accumulating loop
Sorry for my English!

segMin = 2.5; //minimum segment duration sec
segMax = 5; //maximum segment duration sec

runDur = 1.5; // run duration

oldPos = 2380; // x position start
newPos = -500; // x position end
yPos = 0; // y position

end = 0;
j = 0;
while ( time >= end){
j += 1;
seedRandom(j,true);
start = end;
end += random(segMin,segMax);
}

if (time > end - runDur)

{

seedRandom(j,true);
y = random(0,1080);

linear(time,end-runDur,end,[oldPos,y],[newPos,y])

}else{

seedRandom(j,true);
y = random(0,1080);
[newPos, yPos+y]

}

==================================
// random rotation with accumulating loop
j = 0; //initialize loop counter
accum = 0; //initialize random accumulator
seedRandom(index,true)

while (j < time){ accum += random(10); j += thisComp.frameDuration; } rotation + accum