Here I have done a scan on 15 different days, for every single moon, and from it we can see that it is actually better to mostly go for Assurance or March over any of the other free moons, since Experimentation is so low in comparison, Vow has a very high Bracken spawn chance (higher than any other moon!) so unless your fetish is having your neck snapped, don't go there, and Offense is as dangerous as March but with a similar average value to Assurance.

As expected, Titan has the highest average, and is your go-to choice when your quota starts being too high.

I recommend mostly going for Assurance at first, and either Vow, March or Offense if the weather on Assurance is eclipsed or stormy. If you do go to March or Offense, bring a shovel or stop sign (not the yellow one, too heavy) as thumpers will most likely be spawning in there. If you're going to Vow, watch behind you often enough since chances are, there will be a bracken sneaking up on you.

Once your quota reaches about 700, you should have enough then to afford going to Titan while already having the teleporter in case someone dies.
It's the most optimal way of going based off the sheet, but if you'd rather go for a mansion interior then go for Rend or Dine, or if you simply don't want to deal with the ghost girl as much as on Titan.