My DS got a 239 on his spring MAP (2-5) in first grade, almost the same score as yours. He just finished 3rd grade with a score of 256 on the MAP 6+.

DS also lacks the maturity to grade skip. What worked for us this year was having him do Beast Academy at school. We chose to have him work one year ahead, so he did BA 4th grade this year.

So while he didn't necessarily learn any new math, he was working on challenging, interesting stuff using the math he already knows. This worked out well because we were told that there would be no time available for anyone to teach him.

In the end he was not bored, in fact he was very happy with his math work. He brought his book home daily and I graded it for him and we discussed anything he got wrong or needed extra help with.

We plan to continue the same next year, I already bought the 5th grade books. No idea what the future will look like for him, but for elementary this solution has so far worked well.