I would put up a poll with your choices. Leave the story about the disagreement out and see what people think. There might be bias with your story.
A question to ask yourself. If you are in business in 20 years will the name still make sense?
Team: Pyle's BBQ; Good-One "Trail Boss" 60T; Homemade rig; 22" Weber Kettle w/rotisserie ring; Big A$$ Rotisserie; BGE-Small; Weber Kettle Gold, Weber OTS, New Braunfels offset smoker.
Saddles BBQ Bistro