Are you doing backside 360s or frontside 360s? I'm assuming fs 360s since you talk about a blind landing and bs 180s.
You actually don't want to try to land flatbase, but on an edge to stop the rotation, not sure who told you to try to land flat base.
Besides that as you already mentioned, for fs 360s you should be landing blind looking down and back up the hill and if you look forwards during the landing you'll overrotate into a 540.
It's kind of hard to tell what else you could be doing wrong without video, but it could also be that you're just plain spinning too hard. With 360s you barely need to initiate the rotation to get the full 360 around once you have the timing mastered.
I teach snowboarding via step-by-step videos lessons at
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