You will first need to ensure that your machines are networked together. This will allow you to access the files from one or the other machines.
In DW on your dev machine you just need to setup the testing server to point to the root of your site on the mini. You also need to add in the URL to this location. The URL you need to add will be the one that takes you to the site on the mini.
This way you can work and test on your machines.