How to create holes following a path or along contour?

I'm currently try to create holes/channels that follow the contour shape of a rocket engine and was wondering if anyone could help me out in doing so. I've tried using a few of the features with no luck. I've also thought about creating this channels as pipes, but that wouldn't be accurate/correct since they are drilled into as part of the workpiece (cooling jacket).

Appreciate any help I can get!

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I made an example that might be what you are looking for.
Your original sketches really need to be better defined, but after that, the sweep seems like a decent way to make the feature. To create the sweep path, I used the Intersection Curve command, but Convert Entities should work as well.
Check the wall thickness of the part, there are some thin spots.

 
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