I have to admit, I'm totally confused why the clear tube sight gauge process doesn't work for you. All fluids will seek to self level in whatever shape container they are placed in. The tube is just a container extension. Earth's gravity is what does all the work.
If you can't get the sight gauge portion directly against the outside of the bowl, use a bubble level to transfer the meniscus in the tube to the bowl's location.
If the bowl is having issues filling, the vent system is suspect, or the supply line is blocked. The float bowl is just a reservoir.
What am I missing?