On Staten Island mls you can look Saturday morning and see where all the Open Houses are., The first time it doesn't matter when you see the home, If you are interested I would go back again during the say to see all aspects of the home. I would check the block out several times during the day, weekend and evening to check parking, kids in the area, etc.
The best day and time to see a house would be if the Home is available for showing the same time you are able to see it. That could be daytime, evening, weekends. Feel free to log on to my website at appleseedhomes.com to see what homes are available in 10312. Once you have narrowed down your search, call me at 646-207-8501, and I will be more than happy to help you find your new home!
There is no right answer it depends on your schedule and the schedule of the houses you are looking at. If you need help finding homes and what open houses are available call me and I can help 917-270-5379.