A few comments:
You don't need to worry about special cooling of the hot-end in a 45C chamber. You're only going to use that temperature for printing ABS, and ABS is fine at 45C. For PLA you're going to set the temperature inside the chamber to a more normal room temperature.
If you build the enclosure using insulation panels and add a window so you can see what's going on, you won't need much added heat to get the thing up to 45C.
I built a box for my original printer that way and actually had to prop the door open a little to keep it from getting too hot inside, using only the bed heater and extruder for heat. The current incarnation of my printer has 3 walls insulated and 3 clear polycarbonate walls. I started with only the floor insulated, but found through trial and error that I need to add insulation to two more walls to get the temperature to 45C inside the box. Now I'm printing in my cool basement and I may convert one more wall to insulation board because the temperature barely gets to 45C when printing.
I don't know the frequency of the PID for an extruder heater, but I don't think its going to be a problem for driving an SSR that's switching power through a resistive load like a heater. I wouldn't worry about the SSR having a zero crossing detector, either. A resistive load won't produce a big current surge when power is connected to it, even if the voltage isn't at zero when the power switches. In my printer I turned down the PID frequency for the bed heater because I use an SSR to switch power into a transformer that powers the heater. Transformers are inductive and will produce large surge currents if the switching frequency is too high and if you don't use a zero crossing SSR. Don't try to switch AC power into a switching power supply under PID (or even bang-bang) control. The switching power supply won't last long if you do.
I don't know of anyone who worries about Stratasys (or anyone else's) patents when it comes to running their printers. People have been putting enclosures on their printers from the beginning of DIY 3D printing, for reasons including noise control and safety. An enclosure keeps kids fingers away from moving or hot parts that could injure them. I would bet there are many other patents being violated by things like extruder/carriage designs, cable management, etc. that people are doing. I do not do patent searches for everything I do myself because I would end up spending all my time searching patents and none of it actually doing anything (though I occasionally do patent searches to find ideas for things to do- one of the purposes of patents...). Also, a lot of people buy Chinese kits of 3D printer parts. Some of those parts may well be manufactured using patented techniques, but how will you ever know? If you're going to live in fear of patent violations, you better just sit around and watch TV instead of making things, because sooner or later you're going to violate someone's patent on something.
If you have a problem getting the printer controller to manage the enclosure temperature for you, you can get a
PID controller like this for $23 that will do the job. You'll need a thermistor or thermocouple to monitor temperature and you'll still need an SSR to switch power to the heater, but it doesn't get much simpler than this. I used one of these devices to make a temperature regulated water jacket (with a pump and a 300W aquarium heater) for a syringe type chocolate extruder and it does a fine job of regulating the temperature. It even has programmable alarm outputs for temperature too high and too low.
Ultra MegaMax Dominator 3D printer: [
drmrehorst.blogspot.com]