Well, you have the strat...so I think your halfway there
Funny you mention this because I've never watched Becker and it was on today. When I heard the intro, I immediately thought "what a great tone", very SRVish. Now I see this post. Weird, how the world works sometimes, lol.
I have a POD 2.3 and GuitarPort but I think you should be able to get close using the bassman model, especially if you throw a tubescreamer in front of it.