All are scheduled around normal meal times so I'm not sure what is meant by time constraints.
It's pretty common to feel rushed and hurried by a dive boat, even for experienced divers. The small space and "get in and dive" attitude on some dive boats can create an extra level of stress. A nice easy shore entry is better any day. No rush, you can take as much time assembling and double checking your gear as you want, and you can make your dive last as long as you want. Plenty of shore sites have extremely easy access; all the house reefs, Oil Slick, Tori's Reef.
Maybe it's just me, but if I didn't feel comfortable with my kids in the water alone, I wouldn't want them with a stranger either.
Tom