I just came to the same conclusion, finding no coil relays which could be (1) controlled by only 5V
and (2) handling load current of 10-12A.
In "recreation camping", using these trailers
http://trailmanor.com, we are often far away from 120V "grid" electrical service. The refrigerator works in 3 different ways (propane gas, electrical DC heater, or electrical AC heater). This is NOT a normal refrigerator, built with a compressor. It uses the more primitive "Vapor-Absorption" technology, powered entirely by heat, with no motors or moving parts. (See
http://en.wikipedia.org/wiki/Absorption_refrigerator for details.)
Our problem with the refrigerator is the lack of a QUALITY thermostat. There is a rotary dial control which spins from "warmer" to "colder", but it works in two dumb ways-- and neither way knows about the actual temperature inside the refrigerator.

The dial is a timer for the two electrical modes- when you spin the dial to "colder", a higher percentage of time is spent with the corresponding electrical heater turned "on". The dial is also directly connected to a propane control needle valve: when propane is selected, gas runs through the valve, and "colder" has the valve more open. (More open = more heat.) Propane never actually turns off, you would have to re-light the burner. But the dial controls the size of flame, and the size is always the same when you have turned the dial to a particular spot.
And so, during the hottest part of the day, the beer and vodka gets too warm. Then, at night when less refrigeration power is needed, everything freezes. The 7100 PID will allow us to simply spin the dial to "maximum cold" whenever DC or AC is being used. On the "hot" wire into each of the heaters, the PID and SSRs disconnect will disconnect the circuit if the temperature ever falls to 34F (one degrees C), and they will close the circuits when the temperature reaches 40F (about 4C.) And in between, of course, the PID performs variable switching to keep the fridge close to our designated target: Right around 2C, maybe 3C.
Parts of the western USA desert have no people, no buildings, and hardly any roads for dozens of kilometers around. In such places, it would be great to use propane at a small flame size (small enough to avoid freezing the fridge contents at any time of the night), and then add 12V heat to "finish" heating the refrigerant coolant. Every bit of propane used saves electricity in the batteries, but the electrical is controllable. Using both, together, is best of all: perfect temperatures, and minimal electric consumption. In "campgrounds" with electrical service, of course, we just use the120VAC plug-in. No propane, no DC. An hour ago, mposner decided that this will be OK from him- he will not be using DC.
But I probably will do the "SSR relay drives the coil relay" on my installation. I'll simply use an un-switched 12VDC power source as the "Load" connection for the SSR, driving a high-power automotive relay. The current on the SSR will be vastly less than one watt, causing no thermal issues within the relay. Thanks!
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Now, for your solar-related questions. Our RV has propane-powered water heater, and (unlike the refrigerator) it has a good thermostat already built in. That will not be interesting to any of us for this purpose. It may be
very interesting at our homes

but we have no special interest for these RV camping trailers. (If it can withstand freezing on the roof, that would be fantastic!) Solar electrical panels are of great interest to many owners of Trailmanor- and fortunately for you, the factory "option" is too costly and also too small (only 80 watts). Many owners have installed solar, and at 180 watts, you would be exactly on the "sweet spot" for power versus cost and weight. For us, the efficiency would need to be high; unlike houses, surface area and weight from lower efficiency panels is unacceptable on Trailers. The biggest problem for you is: The business is cut-throat, EVERYBODY is trying to get into it, and so the profit margins are turning into sh%#. Shipping of large panels is also a new issue, compared to your current product line. But you know that, I am sure that you are more expert than I about solar electrical systems.
