Just thinking outside the square for a second, is it a problem with cooler air, or the radiator and fan(s) being inadequate? Reason I ask is standard Holdens run the transmission cooler through the radiator, so what is happening is you are heating up the water more making the engine's radiator work harder. You are doing the same thing by placing the transmission cooler in front of the radiator as the radiator now isn't working as hard as it used to so having the transmission cooler in front of it should bring it all back into line. Might be wrong, but possibly the engine's radiator and thermo combination isn't good enough for the engine and transmission combo? Is the engine's fan shrouded and the radiator clean internally?
In any case you are better off with the transmission cooler out of the engine's cooling air stream. If you get a chance, have a look at the cooler that comes with a VZ Crewman or Adventra tow pack. I think it's a B&M like the one you have but it's only about 70mm high and about 250mm wide and may fit perfectly off to the side of the radiator or behind the spoiler scoops. On the Crewman it runs in series with the engine's radiator which you could also look to do but probably not necessary. You could also look to run two of them, one on either side of the radiator? Or you can also buy coolers with electric fans on them.
Yel, im running a 4 core radiator and its new and twin au fans with the shorud (see pic below ) , the other day its was 31 degrees and in my driveway the cars temp dropped to 178- 180 just idling with the fans running. There was a gap between the cooler and radiator so i figure it must be pulling in air from between when just sitting therefore not having the hot air forced through the cooler and onto the radiator as much as when driving. I have also tried the cooler hard up against the radiator and it made no difference to driving temps but a little worse but still ok for idling temps. The cooler bascially was covering the whole drivers side of the radiator from the bonnet catch to the side panel so all the air was hot getting to that side of the radiator if you know what i mean.
Ill look into the crewman and adventra coolers , may be a possibilty as my cooler is pretty big as you can see by the pic. Basically starts from the top of the bumper to where you can see it hanging down in the pic in the first post.