Thanks @Patterson for taking the time to answer our questions.
The short answer to your question is that you will not find that feature in any commercial espresso machine. The reason for this is simply that espresso is best brewed using water with a temperature of around 90° C, so thermostats in those machines are typically set to around 92°.
However! And this is a big however. Several things steal heat away from the water before the water ever touches your cup. Those extra few degrees on the thermostat are there to help the coffee stay about 90° when it hits the coffee, but after it hits the coffee, the water hits the (metal) brew group, brew head, and shower screen. Slurrrppp. There goes that heat. Your coffee will be closer to 80° C by the time it hits your cup.
Then, the cup... Oy. I know you said your brewer had a heating tray to heat your cups, but those trays don't actually do much. If your cups are glass, stoneware, or porcelain, you're probably losing another 10° or more to the cup--even counting the warming you're doing. This is because these materials are decent insulators. That hot plate heats the top of the cup where you drink (assuming you place the cup upside down), but the heat doesn't make it down into the part of the cup the liquid touches. You can probably tell this by simply picking up said cup. A cup hot enough to protect the heat in your drink would be quite a shock to grab because it would be hot and will actually burn you quite badly if you hold onto it for more than a second or so.
So yeah. For machine to serve piping hot coffee, it would have to brew first, then either boil the brew (which would create a very different drink from espresso) or add boiling water (which makes an Americano and not an espresso). You won't find a machine that does the former, and a machine that does the latter is not an espresso machine.
That said, espresso based coffee drinks aren't typically served piping hot. Like I said before, ~90° C is the target water temperature for brewing, and milk for lattes/cappuccinos/whatever shouldn't go over ~70° C because high heat will mess with the proteins and sugar in the milk. Consider giving "warm" espresso a try because that's generally the tastiest way to get it.