My RV-6 range
Well my RV-6 with O-320 and Constant Speed prop is now over 15-years old and over 2,654.7 hobbs hours, I should be able to give a good answer.
I average 7.3 GPH fuel burn over the course of a year. I always run cruise as lean as possible and do spend a lot of cross-country time lean of peak on a carb. On a good day, (colder than standard) I can get 23" WOT, 160 KTAS, 7.0 GPH at 8,000 MSL. I flight plan at 150 KTAS all the time. I can go faster but I burn more fuel.
I have flown 3 or 4 four-hour legs in the past 15-years. I prefer a 2.5 to 3.5 hour long leg for all the reasons that others have said.
In calm air, I can get 788 sm range with the legal 30-minue reserve. That is 4.5 hours with reserve or just over 5-hours with no reserve. I like a 1-hour reserve as minimum.
Several years ago, I thought my airplane was getting slower. On the way home from Van's homecoming, I ran a little test. I set up my normal cruise at 2,300 RPM, WOT, and 7.0 GPH fuel flow. I had a 154 KTAS and GS. Touching only the mixture, I rotated in in to make the mixture richer. 15-minutes later, I had 164 KTAS and ground speed with a fuel flow of 8.5 GPH. I was still WOT but MAP had gone up 0.1" due to the extra speed coming in through Van's FAB. Turns out that me going slow was just me leaning more aggressively. It take horsepower to go fast and it take fuel to make the horsepower. Not sure who said "There is no such thing as a free lunch." IMHO, if you want to go fast, you are going to burn more fuel.
There is a sweet spot with every engine, prop, and airframe where you will get the best economy. I almost always fly at best economy.