Douglas
Old School KSUX
I teach, if you have to overfly, overfly at 1000' above TPA then once at pattern distance (~1 mile from midfield, above downwind), start to decend and tear drop in on a 45 and you shouldn't have any problem being at TPA by downwind. And always communicate your intentions, if possible.
That is what my first instructor taught me, except it was 500 and not 1000.
I don't see anything wrong with it, I just don't teach it because it makes you spend a longer time in the terminal area when you can see a clear downwind.