I need to set the maximum compression that does not exceed 370KB.

I had a problem when there was spaces in fileNames. In the following example, a recursive function puts in an array the pictures found in a top folder and its subFolders and optimize them for the Web.

Line 12 you can change the maximum dimension of your pictures (in pixels) and line 13 its maximum size. Optimized files are saved in the original folders and begin with an underscore.

You can try this.hopping it will help. Sorry for the previous bug.

// Enables double clicking from the Macintosh Finder or Windows Explorer 
#target docRefshop
app.bringToFront();

// We shall work in pixels
var rulerPreference = app.preferences.rulerUnits;
app.preferences.rulerUnits = Units.PIXELS;

alert("After launching this script, you must wait the message that will inform you that the execution is finished");

// The user chooses here the largest dimension and the maximum size for his Web image
var maxDimension=900; // in pixels
var maxSize = 370; // in KBytes
maxSize *=1024; // Conversion to bytes

var inputFolder = Folder.selectDialog("Select the top folder where your images are : ");
if (inputFolder != null) {
    filesArray = scanFolder(inputFolder);
    if (filesArray.length > 0) 
    {
        for (i = 0;i<filesArray.length;i++)
        {
            var docRef = filesArray;

            var inputFolder=docRef.path+"/";
            var docName = "_"+docRef.name;
            app.open (docRef);
            // Portrait or Landscape ?
            var imgWidth = app.activeDocument.width;
            var imgHeight = app.activeDocument.height;
            if (imgWidth<=imgHeight) // Portrait
            {
                imgWidth = Math.round(maxDimension * imgWidth / imgHeight);
                alert("image verticale");
            }
            else // Landscape
            {
                imgWidth = maxDimension;
            }            
            // Resizes the image in the maximum dimension and optimize it  
            app.activeDocument.resizeImage(UnitValue(imgWidth,"px"),null,100,ResampleMethod.BICUBICSHARPER);  
            optimization();
        }
    }
}

// Recursive function
function scanFolder(folder) {
    var filesArray = [],
    fileList = folder.getFiles(),i, file;
    
    for (i = 0; i < fileList.length; i++) {
        file = fileList;

        if (file instanceof Folder) {
            filesArray = filesArray.concat(scanFolder(file));
        }
        else if (file instanceof File && file.name.match(/\.(jpg|tif|psd|bmp|gif|png|)$/i)) {
            filesArray.push(file);
        }
    }
    return filesArray;
}

function optimization()
{
    var tempFile = File(inputFolder + '_tmp.jpg');
    var qlty = 100; // Begins with maximum quality
    ExportWeb(tempFile, qlty);     
      
    // Optimization trial with a decreasing step of 10 %      
    while (tempFile.length > maxSize)  
    {  
        qlty -= 10;  
        tempFile = new File(tempFile);     
        tempFile.remove();  
        ExportWeb(tempFile, qlty);    
    }

    // Optimization trial with a step of 1 %
    if (qlty<100)
    {
        qlty+=10;
        tempFile = new File(tempFile);     
        tempFile.remove();  
        ExportWeb(tempFile, qlty);    
        while (tempFile.length > maxSize)  
        {  
            qlty -= 1;
            tempFile = new File(tempFile);     
            tempFile.remove();
            ExportWeb(tempFile, qlty);    
        }
    }

    // Closes the original doc, loads the optimized image and saves it  
    activeDocument.close(SaveOptions.DONOTSAVECHANGES);
    var newFile = open(tempFile);
    var saveFile = File(inputFolder+docName);
    ExportWeb(saveFile, qlty);
    activeDocument.close(SaveOptions.DONOTSAVECHANGES);
    // Now the temporary file can be killed
    tempFile.remove();

    // Save function for Web optimization  
    function ExportWeb(fileName, qlty)  
    {  
        var options = new ExportOptionsSaveForWeb();  
        options.quality = qlty;     
        options.format = SaveDocumentType.JPEG;     
        options.includeProfile = false;
        options.interlaced = false;
        options.optimized = true;      
        app.activeDocument.exportDocument(fileName, ExportType.SAVEFORWEB, options);      
    }
}
// Restore user's preference - End of scripts
app.preferences.rulerUnits=rulerPreference;
alert("Done. Your optimized files begin with an underscore.");