I've never used a mash tun either so I can't help there.
Wheat is pretty easy to mash. I have some 100% wheat whiskey in a barrel right now and I'm using some malted wheat with the rye whisky I've started working on. American wheat has a High DP. The red wheat I got has a DP of 200 and the last time I got some it had a DP or 194. I've seen American white wheat with equally high DP's. Wheat gelatinizes @ 136-147F so, unless you're worried about something in the wheat that might cause an infection, a boil is not necessary. With the high DP's it's pretty economical unless ya go to a 100% malt whisky.
With the low gel temps ya can just combine all the grain with your water at about 140-145F, let it rest there for a bit and then raise your temps to 155-158F and give it a long sacc rest.
I always let my sacc rest set until temps drop back down below 140. At above 150F your alpha is breaking up the sugar in chunks, when it drops below 150F the beta takes over and as Samohon described it sort nibbles off small pieces so ya get more fermentable sugars. An AG needs to go through both the alpa and beta rests to get good conversion. Gluco, added at pitching temps, works to make even simplier sugars so the yeast don't need to as much. However, unlike a sugar head (especially w/inverted sugar) you're still gonna have some unfermentable sugars, it's just the nature of the beast.
Piss, your techniques will improve with repitition. Experiment around but just don't change everything whole sale. Nibble around at the corners and you'll start to see what helps and what doesn't.
Big R



