This is only my opinion and hopefully someone will correct me but orbiting on your own accorod is equally as bad as turning base with traffic on a straight in approach.
I would have called turning base, called final (and distance) and if no further respose (assuming that tower was genuinely 'nattering') asked for a confirmation of landing clearance from the ground freq' telling them that twr was congested etc. chances are these guys are sat next to each other. If no positive response you have got to go round. I would have made a few phone calls after that.
I use the example of calling ground as it is something I did in the states when a student in another aircraft either had a stuck PTT or kept her finger on it. I was outside of class D and wanted to go home.