If you want a simple overview of spray schedules take a look at this post.
Sweet cherries are hard to grow due to cracking and brown rot. In the long term you are probably going to have to spray synthetic fungicides to control them in Long Island, New York. Captan, Bonide Infuse and Indar work pretty well on brown rot. To avoid killing pollinating insects you don’t want to spray during bloom. Indar is an exception to this since it isn’t toxic to bees.
Here is a guide to toxicity of sprays to bees. You may need to search by the trade name or chemical name as some sprays are only listed by one name or the other not both.
https://ipm.ucanr.edu/bee-precaution-pesticide-ratings/
The Black Tartarian is a good choice for your area but I think with the Bing you are going to struggle with cracking and brown rot.