I mean, from what I see from your pictures, these models clearly need supports, at least in the orientation you're printing them at.
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Agreed.
There's also not much reason not to use supports. A tree support wouldn't as much time or material at all.
Everyone needs a little support sometimes.
Oh! Hang in there, buddy.
Yeah I agree with the other comments, domes are deceptive little shits to print the underside of. The layers tend to be undersized for the previous one as you get higher, and you quickly go past a reasonable angle for printing. At that point the rings you print are likely just barely touching the previous layer, and you get those separated rings that just get worse the higher up the dome you go.
Since you want to avoid supports and cleanup, what I would do is modify the model to flatten out the inside of the dome. You can do it easily in most slicers by adding a cylinder part and squishing it until it's more like a disc.
A flat roof to the inside of the dome will cause it to switch to bridging for that section which won't be perfect but will be a lot better than stringing, especially if you play around with thick bridges.
I'd suggest lowering your layer height and possibly trying to flip and print the dome convex side down, possibly with some supports if it's not flat. You might have to do some post prep but it should be a lot easier for the layers to stick in that orientation
Edit: I apologize you said no supports. I still think lowering layer height might help here
Thanks everyone, for your input. I've got some great advice here to try and I'll go for it. ❤️