Solution:

For anyone looking for how to do this, a workflow (as shown in the image) where the attach electronic document attaches to the "Create Entry > OutputEntry", and the SDK Script also has a default entry of "Create Entry > OutputEntry" will allow the files to be easily accessed in the script.

string contentType;
//the "using" keyword provides automatic cleanup of the object once code has completed
using(LaserficheReadStream file = Laserfiche.RepositoryAccess.Document.ReadEdoc(BoundEntryId,out contentType,RASession)){
    //create a byte array that is the correct size of the file
    byte[] result = new byte[file.Length];
    //read the file into the byte array
    file.Read(result,0,result.Length);
    //save the result, encoded back into a string,
    this.SetTokenValue("SDKScript_FileData",System.Text.Encoding.Default.GetString(result));
}

The Create Entry item can be deleted after the code. This leads to having a token with the file's contents, which I was then passing to a SQL script for some dynamic manipulation.