I was going to recommend exactly that. Excellent suggestion!
Used laptops (on Kijiji are dirt cheap [make sure you pay cash, use fake name, and text app to get it], and public wifi is everywhere. (Doubt Starbucks turns off their wifi hotspot when they are closed.?)
Just don't get sloppy and use the burner laptop from your home wifi or from your cellphone's hotspot. Your home IP will identify you in a split second.
It is really easy to be invisible. Just super easy to be sloppy.