What do a Tiger Cub and Senior in high school have in common? A single parent maybe? Why is the troop putting that kind of pressure on the parent? Either you find a babysitter and show up or the troop will have to cancel it's outing.
C'mon, is that really fair? A program needs to be a lot more robust than that. We all have conflicts on our calendars. Flexibility and coordination is needed to make it happen.
My wife will be out of town that weekend, and I have to stay home with Little Johnny. I can drive up a few of the boys, but I can't stay. I can come back on Sunday to pick them up.
Yes, I have done that myself. My boy has two sisters.
Not only that, although troops are different.. I know in my sons' troop, the older boys had some difficulty with the younger incoming scouts.. Sometimes the little guys were fine, and cool.. But, if they start whining, or being too goofy or are reluctant about doing work, or make an extra mess and then walk off for someone else to fix.. That's for 10.5 to 11 year olds.. They just wouldn't be more tolerant for a kid of 6 or 7 who shouldn't even be on the trip.
Then also my sons' troop for a long time had great SM's but the last year (and for several years after) they had a SM who was there for his sons only.. Everything was for their son's advancement, what their son wanted to do, it was just known.. It was not well received.. Even when he was not SM but just ASM and he wiggled for the privilege of his sons the boys knew it, and it was not well received. This guy was SM for over 5 years, and except for his sons ECOH's all the other scouts who made eagle called and asked for past SM's to please come back to be part of their ceremony and either gave the current SM nothing in the program to do, or they gave them something very minimal, and only because some adult said it was not courteous to not give him a part in the program.. His son's really did not fare much better in the minds of the boys in this troop.. They were not seen as 'earning' their eagle, but more having the road paved for them by Daddy..
So, yes, it is my inferring my own personal history to this story, but at least I have got the OP statement, and I am not making backstories up about "What if".. But, if the outing is not about his interest in the boys of the troop having a good trip, or the good of the troop, and nothing this being the only option, there being no other.. But, simply that bringing his scout to something he is really not old enough to be at, is all about his relationship with his son.. Then, sorry, this would be an ASM I would not ask to attend the event unless he was the last option. He is not there for the benefit of the troop. Boy's of a troop know when their adult Leaders are giving their son unfair preferential treatment, that the only reason they take a position is to give their son's some preferential treatment. Their resentment does not go away with time, it just gets worse.
Now, if you did bring your son's to a BS outing due to it being the only option you had, and you thought it was best for the troop and best for the boys of the troop, to deal with your young child then miss the trip.. I would think the boys of your troop will figure it out. It would be through your young child only coming when it was absolutely necessary, not whenever possible. It would be with you working to keep the child occupied and out of the older boys way, rather then expecting the older boys to curtail their plans to cater to him, or to expect them to take him with whenever possible. It would be by you verbally and in deed, showing them that the trip was all about the Boys in the troop, and not about getting your young son to be a boys scout years before he was mentally and physically and maturity wise ready to be.
Bottom line, your reasoning for bringing young child with you is key.. If it is for the benefit of your young son and you.. Then you have lost me.. BSA rules aren't bent for those reason.. BSA rules are enforced, emboldened, and printed on your forehead.