Perhaps we have unrealistic expectations. There may be just no definitive solution for space radiation - only limited mitigation.
And yet Mars is the next logical step - not the Moon. The Moon's total lack of atmosphere, lower gravity and extremely long day, coupled with its pesky regolith make it an environment far harsher than Mars IMHO. Worried about the cold on Mars? Think again - lunar night is equally cold, and it lasts two weeks. During that period, human survival depends on two weeks of continuous heating power.
A night out watching some meteor shower in August? Think again - by staying outside on the Moon, you're taking a gamble with meteorites, and it's not just "at night" - it's all the time.
https://mooncampchallenge.org/meteors-on-the-moon-sunny-with...