@videoikea

Now that the budget is finalized and the CAD is ready, I imported all of the parts that would be used (except for the ones on the PCB) so that they would have the same dimensions as the actual parts, be low-poly, and look similar in Onshape to the real parts. (The main reason this took so long was that I got a little sidetracked and tried to perfectly match the dimensions of the heat-set insert, which was hard since the seller I am getting it from is a somewhat shady, low-documentation vendor.)

After spending almost 2 hours selecting parts and making them fit under a $200 budget (it costs $198.27, so very close), I started the master sketch. Thankfully, since most of the electronics are integrated into 1 PCB instead of there being tons of wires and breakout boards, I was able to draw 1 rectangle and be done with the electrical layout (so relieving). The other mechanical components fit pretty well into the footprint, so I am grateful for that as well.