You can always release your software under the AGPL (which is an OSI-approved license)--which would effectively prohibit its use by cloud providers. Probably very few others will use it either but that's the tradeoff you make.
But I know other people who think that using NC content even on a personal blog that uses Adwords is a strict no-go. Or you try to define NC in terms of US tax code which is fraught for a lot of reasons.
ADDED: Personally I think the latest round of the licensing wars is overblown. If you want to use a more restrictive license, go for it. Just don't expect the development model benefits of open source software. Of course, most open source doesn't reap those benefits either because vibrant communities are relatively rare.
Edit: and another question alltogether is whether it's going to work well against FAANG with nearly unlimited cash to employ hordes of lawyers