I'd maybe defer the pan upgrade for now. It won't add cooling. Just a longer buffer for the temps to rise, but then you have more fluid to cool as well. That said.... There's other benefits, such as adding a drain plug if your pan doesn't have one, and better dent-resistance. But cooling isn't one fo them.
Upgrading to the Tru-Cool Max is pretty easy. This is one that almost anybody can DIY. Only basic tools needed, and something to trim on of the existing cooler support (tin snips, cutoff wheel, etc). Should cost you about $150 to DIY.
There's some older posts on here with DIY tips.
That all said.... You shouldn't be seeing 230F this time of year. Can you hear the engine kicking in? If that isn't working, trans temps will jump as much or more than the Engine coolant temps. If your fan clutch isn't working, take care of that first.