BJT transistors can't switch AC. They are also not suitable for switching the large currents you're planning on using them for.
I'm not an EE either, but here's my understanding:
A transistor is essentially a diode, the resistance (and thus the current flow) of which can be controlled. It limits the flow of forward current by acting like a variable resistor. It turns all the voltage that it limits into heat.
If you try to push too much voltage backwards through a transistor, you cause the diode to break down and fail. That's why it can't switch AC. The negative half of the AC sine wave tries to flow backwards through the transistor, likely destroying it in the process.
If you try to take 120V and knock it down to 30 V with a transistor, the 90 V drop will be dissipated as heat. Bad.
Transistors in linear mode (partly on, partly off) that are passing a lot of current generate a lot of heat. It's the nature of the beast.
A triac on the other hand is a circuit that is designed to switch AC. It has an input that, when you apply a control voltage, very quickly switches it on to the flow of AC current, with almost no resistance. When you remove the control voltage, the next time the voltage across the load terminals of the triac drop to zero, it switches off. When used correctly, the triac is either either fully on or fully off. (Near zero resistance, or near infinite resistance.) Ordinary dimmers work by using a triac to suddenly turn on the flow of current at some point in the sine wave of the AC power cycle. When at maximum power, the triac turns on at the beginning of each increase in voltage, and stays on. At minimum power, the triac is off for most of each +/- pulse, and turns on suddenly for the trailing edge of the sine wave. The average voltage passed through the dimmer is the area under the voltage curve (which is no longer a sine wave but a chopped up sine wave) divided by the time. Since the triac is nearly always either fully on or fully off, it doesn't generate much heat. It does, however, generate lots of really nasty harmonics in both the power output and the power lines it draws from. Thus some electronics can't deal with the output from a dimmer.