Hi-Yield Improved Lime Sulfur Spray states on the product label for summer foilage spraying: Apply 1/2 fl. oz. per gallon of water. Apply at 10 to 15 day intervals in Growing Season for blackspot and red spider mites on roses.
Triple Action would be an alternative for a fungicide, miticide and insecticide.
Unfortunately, Hi-Yield Improved Lime Sulfur Spray has been discontinued. It would be important to know what type of insects you are trying to eliminate to know when treatments should start or to be able to make the right product recommendation. If you are uncertain as to the type of insects you are trying to eliminate, you should contact your Local Cooperative Extension office for information regarding insects in you region.
This is what the product label says in relation to peaches when using Hi-Yield Improved Lime Sulfur Spray
PEACHES: Brown Rot, Leaf Spot. Apply 4 teaspoons per gallon of water. Apply 3 to 5 times at weekly intervals before Harvest. Brown Rot Blossom Blight. Apply 1 to 2 fl . oz. per gallon of water. Apply in pre-bloom, early bloom and full bloom stages. Leaf Curl, Scab, Shothole. Apply 12 1/2 to 15 fl . oz. per gallon of water. Apply in dormant season. Powdery Mildew. Apply 9 1/2 fl . oz. per gallon of water at green tip stage. Use 1/2 fl . oz. per gallon of water on Summer foliage.
Without knowing what plant you are planning to spray over, and what disease or pest you are treating for, it would be hard to give an exact best recommendation for a replacement of the Hi Yield Improved Lime Sulfur Spray.
Two products you could consider and review the labels of that may work for your needs would be Eagle 20 EW Fungicide and Fertilome Triple Action.