A trick that could potentially get you close to the 2 minute average thing could be adding the destination to an address list with a timeout… Depending on the order of the rules and a few other thing you could probably start applying a rule match only after the connection is 2 minutes old with the same behavior…
Can you provide more detail on what behavior your trying to accomplish?
Also, what do you mean by “mangle a continuous uploading traffic” in what way do you want to “mangle” it?