Struggling trying to get a logo modeled

Trying to get a high school logo modeled. Have a few images, none as big or clear as I would like. At one point I had it pretty good but there's 4 colors and it didn't transfer very well. I'm green to design/modeling. I'm hoping to get the logo made so my kids can use it for school things. I'm hoping to get the colors at a slightly different height just to make sure it is easy to print with different colors. So far meshy seems that best but not sure if that's worth paying for to try it out.

Am I overthinking this?

This is what I'm trying to create.

https://share.google/2p463c7ARmPnRjH2r