The bleeding issue is more of a problem for the heavier/larger mugs (15oz El Grande, or 11oz mugs) than it is for the lighter/smaller mugs (China mugs, 10oz mugs, etc).

It's also more of an issue if you use an oven rather than a press (because the whole mug gets to temperature in an oven while the cool parts of the mug act as a heat sink when you use a press).

In each case, the important thing is to get the printed areas of the mug below sublimation temperature as quickly as possible. Sublimation begins, I believe, at around 140°C - 160°C, so you need to get your mug below that temperature. If you can touch it, even if it's very hot, chances are it's below sublimation temperature.

It's not necessary to dunk in cool water because you're not trying to get the mug stone cold. Not since the days of TAMs have mugs been of sufficient quality that they'd all survive a stone-cold dunking. And, again, the smaller/lighter "heat press" mugs will survive such a dunking better than a heavy/larger "oven press" mug would.

We use a desk fan.