Not sure what you mean by "how often do you bike a day?"
But, when loaded, my average speed tends to be c. 14 mph. Significant climbs, of course, drag that down.
My average daily distance on tour is 65 to 75 miles, but that is for longer tours when I am trying to conserve a bit. On shorter trips (2-4 days), I get closer to 100. For example, last year, I rode from San Diego to Ensenada on day one. Ensenada to San Felipe on day 2 (that was a *****, but at least I had a tailwind. I started and finished in the dark.) On day 3, I rode from San Felipe to Mexicali (nice short day), and on day four, Mexicali to Tecate, and then North to La Mesa (just east of San Diego.)