Cant go wrong with combining pizza and wood smoke.
We have a wood burning pizza oven at the cottage. The major benefit is that I can get the temperature up to 900 F +, that combined with the smoke from the wood... kicks out pizzas like you were in Naples. One of our favourite get togethers is a "make your own personal pizza party".
I'll even do roast chicken and prime rib in that oven...the smoke makes all the difference. Between the oven and my Traeger smoker it's probably 75% of my meal preparation all summer long (and winter too !). Most of the time my BBQ gathers dust..