Yeah, 3rd angle projection is the right approach, and yes, you pick the best view of a feature to put its dimension, and don't repeat the dimension of that feature in other views, even if it appears there. Usually this is the view most closely related to the manufacturing step of that feature, but it should always be the view where the full contour of the feature appears.
If its a feature that only shows in its "normal" projection, consider an auxiliary projected view. But again, that's the only place the dimension for that feature should appear. However, all care should be taken to avoid dimensioning the feature to its hidden lines in the view where its obstructed by the rest of the part. Is this a hard and fast rule ? Well after referring to the ASME Y-14.5 dimensioning standard, you must decide.
I use the "Drawing Requirements Manual" by Global Industries as my go-to interpretation of the standard. It's around $200, but it quickly paid for iself in clarity and quality and consistency of delivered product, and our whole department uses it now. FAR cheaper than doing up a manual from scratch.
There- that's kind of the go in a nutshell. BTW- if a view is there and doesn't have a single dimension or note attached to it, strongly reconsider whether that view is remains in the drawing. Good luck and let us know how it goes !