The stuck float needle is not a difficult fix in itself...but usually means the carbs have to be removed.
I was able to fix mine but it was the outer LH one so I managed to undo the screws...albeit with a pair of vice grips on the head. I then cut a slot in them for re-assembly.
If more than the two outer ones of yours are in need of attention then I would remove them all. This is not a difficult task but quite involved as you have to remove other things too...ie the filter housing on mine needs to be loosened and shoved back to give room for the carbs to be manipulated free of the frame and engine.
Then there are the cables...I swore the air blue trying to get them back on....I mean who the hell invented a sytem that you need fingers fifteen inches long in order to get that pesky lower trunnion into the cable wheel????
But I did do it and proud as punch I was.
Once removed the carb bowels can be removed and access gained to the floats and to needles. To set the float height up you need the specs for your bike.
To investigate the needles there should be a screw holding the needle pivot in place. Removal of this allows the captured needle and float to drop free.
Check the viton tips very carefully ...any ridges means renewal...do not be tempted to lightly sand or abrade it back to smooth.
Check the valve that it seats in for any nicks, damage, or foreign bodies.
The float height is set for your bike and is measured when the float tang is just touching but not depressing the float needle. The measurement is taken from the highest point of the float to the gasket surface of the carb top.
A smaller measurement means a lower carb fuel level the reverse is true for a higher one.
generally speaking you can adjust the float height no more than 1.5mm either way...any more than that indicates an incorrect main jet.
To adjust mine I bent the tang very slightly...my problem was a leaking needle... this should only be a temporary fix as to change the float height can have throttle problems further up the rpm range. Also low power can be a bit boggy.
Mine runs fine after I did it so I am not going to bother about fitting a new needle for now.
Do get the manual or at least look on the sticky for an exploded view. There is a site for tuning CV carbs that I have used and found very imformative.
www.factorypro.com/tech/carbtun.
Good luck