Traveling by bike

For the purposes of a story or perhaps real life, I am wondering how far a rider can push a bike in a day? For my purposes, my bike has been quite nice with the gear ratios being to my liking but perhaps a bit low. My tires are 700 x 32 (what does that even mean?) with a maximum inflation of 75 psi, which I routinely run at 80 psi. It's got a Shimano sprocket set. The frame is one of those crosses between a high bar and a drop frame. I'm very tender, so there will be no high bar frame.

Due to a past broken C-6, I ride upright. 9-11 MPH is fine for me.

I can ride 10 miles without difficulty, and I think that perhaps after a time of riding that could go to as high as 30-40 miles per day. I am no racer and have nothing to prove. At my age the shame of not riding far is not an issue.

Rather than carrying the weight of camping gear on the bike, I was considering a small trailer. I don't have all that ridiculously expensive riding kit. Though I have learned to put things on my bottom that do not have seams and does have a bit of padding if possible. Of course, on a trip of weeks or months, one would need to do laundry. Perhaps a drying line on the trailer?

I'd thought that there should be two spare tires, and two tubes, with a patching kit. Though it has been many years since I had a flat.

Aside from that, a gallon or two of water a day, and a filter to make more? I've had experience with camping but not on a bike.

Gwen