So, there’s a type of cutting bit that has a rounded shape, it’s called a box cove bit, and if you were to use it, your drawing could literally just be straight lines, and everywhere you told it to cut would be a groove with a rounded bottom. It’s a thought.
As for software, a 2D drawing to make those lines, can be made with either 2D vector illustration software, or 3D that’s being used to only output 2D.
2D vector illustration software is available from many different sources / vendors, including free and open source, to paid but affordable, and all the way to paid and ridiculously expensive. Here are three, one in each of those categories:
- free and open source: Inkscape
- paid but affordable: Affinity Designer 2
- paid and ridiculously expensive: Adobe Illustrator
There’s another option that’s about halfway between #2 and #3: CorelDRAW
I have Inkscape, Affinity Designer 2, and CorelDRAW. I also used to have Adobe Illustrator, but I don’t currently.
In the realm of 3D software that can render 2D:
SketchUp has both free and paid versions, and the free version is “in-browser” only. They use to give a free version that could be downloaded and installed on the user’s computer. The last year they offered that was 2017.
Fusion 360 has both free and paid versions. The free version is a “Hobby User” license, and is quite capable, having almost all the features of the paid version.
I have both SketchUp (the 2017 version), and Fusion 360.
I used to have the paid SketchUp Pro version, at a discount because of a school I’m with.
I used to have the free “Hobby User” version of Fusion 360, but I currently have the paid version, but free, because of a school I’m with.