What gap did you leave between the custom support and model? That is the gap you will likely want to use in Cura.
I just did something similar recently and built a slightly slanted plane from bed to bridge bottom and left a 0.2mm gap. It spanned 160mm and was quite thin.
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Labern 775
If the gap is to big then you start to get the infill issue.
I normally set the gap to 0.1mm
Have you tried no support?
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