Thanks here for that tip as well!
You’re welcome, but as always: as soon as anybody else gives you advise that sounds like they’re more knowledgable about this stuff, they probably are 
I’ve been doing pretty good on heat sinking here, but I think I’ll bump down to that too, if I can find something. What’s the deal with the high tolerance on some of these things anyway? I’ve got some nice, heavy, high-amperage ones, which I thought would be safe, but things rated for 9V will put off 12 or 13, and 12’s I’ve got can do up to 15 or 16. Can you check the regulator inputs to see what they actually do in-circuit, or is it exactly the same on that side? (-my basic electronics theory went down the toilet about a year after leaving the classroom)
I don’t understand what you mean with “tolernce”, but if it is about the regulators: they need about 2 volts to operate. So in order to get a clean 5v you need to feed it 7. Also note that these regs only give accurate readings when something is actually attached to it, a Core for example. or else they will indeed feed higher voltage on the out pin.
Also, I notice you recommending an AC supply. Any preference there, even with the rectifier sections?
AC is nice, because when rectified and regulated, you get the peak current from the wave (so in practice your AC voltage gets upped bij 41% when converted to DC, minus 0,7v). If you feed DC to your rectifier,the only thing it will do is eat 0,7v from it. You could use a DC supply and omit the rectifier, but be careful not to switch the polarity, or you’ll discover a new kind of smell from your elco’s 
Lastly, if we had a larger d.out board with all our lights on it, can you hang more than one regulator/filter circuit off the main input supply for each board, if the pin 2’s are tied, or is that asking for trouble?
Your DOUT boards get their power from the Core, unless you build a custom cable. If you want that, you could power each DOUT board with a separate Filtercap/78xx line. But let’s say for example that you’ll use 100 LEDs, and they’re always on. I don’t know if you want full brightness, but let’s assume you’ll go with the standard 220 Ohm resistors. (Right now I’m going to use a calculation from a website in Dutch: http://www.tomvanleeuwen.nl/led/ - it’s for calculating LED values. If you can’t read Dutch it’s not much use unfortunately)
Let’s also assume your LED’s are rated for 3,5V and 20mA - that’s quite standard. With 220 Ohm resistors they will draw about 7mA a piece. that’s 700mA for all your 100 LEDs. As long as you don’t use a backlit LCD, your entire box can be powered off 1 7805. If more power is needed, just increase the value of your resistors. If you use 390 Ohm, the current will be down to 4mA per LED, so using 200 LED’s wil only eat 800mA. They will be less bright though. You can also use the bigger resistors to limit the current so a backlit LCD can be attached to a single 7805.
Hope this clears things up a bit. And I also hope I haven’t made any stupid errors, I’m fairly new to electronics myself 
Cheers, Alex.