Fetibog : Almost any black tea (Darjeeling, Assam, Pu Erh, Hunnan...) and Oolongs are brewed best at 90°-95°C, that is more or less 200°F.
But 'down' to 180°F, you have almost all the other ones (including most of green teas)
There's only fine Senchas and Gyokuros, some white teas too, that you need to brew at very low temp.
The steeping time is another matter... amount of leaves too. And there is no real general standard for that. It depends on each tea. And steeping time depends on leaf quantity. And on drinker taste. And on the way you prepare your tea.
I don't think that a coffee machine would work the way you think of, since you would have to remove the leaves when the brewing time is over (or would you brew just a small quantity?). One good point though : the leaves prefer to be free in the water than to be jailed in a metal ball...
As for tobaccos, teas are neither a 'rocket science', nor a 'systematic' science. They better lay on the art shelf, and needs experience, experiments, ... One day you reach the Olympos mount, and the next day, in the same conditions, it looks all flat. Why ? Maybe "you" are not the same...
So : you just have to try and see.
I'm not sure it will help you... sorry
All the best
Antoine