Controversial opinion that will get me called a bad mom
Becoming a mom made me think Misako made the best choice given her resources
She saw what happened with Wu and Morro so obviously she couldn't leave Lloyd with him or else that defeats the point of her going off and trying to thwart destiny
She is depicted as older when she is first shown in the show. Like maybe they were early grays but I don't think so. So her mom who obviously is older than misako probably wasn't capable of taking care of a kid
Even if she was close to the elemental masters (which we know they weren't because all the elemental masters split up and went their separate ways) they all had their own kids/ died/went missing, or all if the above so obviously none of them were an option
She couldn't take him to dig sites. They showed that those are often booby trapped in ninjago not to mention despite what jurrasic park shows you can't bring kids to a professional work place and she did have to go the excavations. She was trying to prevent a battle to the death between her husband and her son. Her tiny likely toddler son
She also needed a job and daycare is expensive in my country and even if she could get a non history related job she probably wouldn't make much so how would she afford daycare, groceries, rent, school tuition, clothes, electric, water bills, and probably more that I'm not thinking of.
She probably had no choice but to take excavation jobs because they would pay enough to cover his boarding school tuition (which a boarding school would fulfill all her needs and cover all the other basis of bills she would have to worry about) and they covered her food and housing situation
In fact probably the only way to avoid boarding school would've been to leave him with Wu and then there goes his childhood, he had to train to be the green ninja
Did that happen eventually? Yeah but she delayed by 7- 9ish years