Hi Hal.
A dough hook is a mixer attachment. To make the recipe without a mixer, simply combine the ingredients in a bowl, then when it becomes a shaggy dough, knead by hand for a few minutes, then continue with the recipe as written.
A pizza stone is widely available and fairly affordable. Amazon has quite a few, around $25. Here is one example: UNICOOK Heavy Duty Ceramic Pizza Grilling Stone, Baking Stone, Pizza Pan, Perfect for Oven, BBQ and Grill, Thermal Shock Resistant, Durable and Safe, 15x12 Inch Rectangular, 6.6Lbs
https://www.amazon.com/dp/B06XGV3RS4/re ... kDb7SBRFYPHappy grilling!