Oh Dear!!
I thought at last contact you'd got it sussed, Stina.
Seems to me that drastic steps are needed now! My next one would be to beg, borrow or steal an electric pump to nail the fuel supply question once and for all.
I'd also want to go through the other things that can draw air into the inlet manifold one more time, ie the one way valve to the servo hose, the servo hose itself, the servo (tank holed and drawing air slightly?), the take off to the distributor, the pipe to the distributor and the vacuum advance unit on the distributor.
I suppose it must be possible that the manifold to head joint has failed and you are drawing in air there too. But I really don't like that one.
Then It's set the fuel levels in the float chambers - it must be possible to get that wrong with the wrong combination of float type and needle valve type?
After that the only thing I can think of would be wear in the throttle spindles allowing air draw, and /or the butterflies not seating correctly in the throttle opening.
Have you now renewed needles and jets?
Chin Up!
Chris