ixnay - Wiktionary
Wings 3D has modes that mimic 3 other programs, one of them will work with a 2-button mouse (IIRC). My local electronics recycler sells 3-button USB mice for $5.
But if you want to model clearances, then you will need CAD software; e.g.,
Solidworks or maybe
FreeCAD.
Your laptop will have specifications like: Operating System, processor speed, RAM and hard drive size, etc. These will affect its ability to run the software you choose.
Wood working and metal working also have a learning curve. If you do it in software, you can outsource the fabrication; Google '3D printing services' or' rapid prototyping'.