I have been using the same equipment, and more, on my '05 F-150HD 5.4L for almost four years now and your readings are perfectly normal given your ambient temps. I can drop some detail on you because I have been keeping records now for all this time.
Generally "Ideal" engine oil temps are in the 160-180F range, where oxidation is low but the oil gets hot enough to bake out contaminants. You won't see running temps that low often (unless it's REALLY cold). Your truck and climate are enough like mine that your normal stabilized range will be 180-200 and the hottest days will get you scratching at 210. If you work the truck very hard in hot weather, you might see more (219 being the highest my truck has seen so far). At the 180-200 range, the bulk of your 5W20 oil is operating in the 30 grade range and the 5.4L oil seems to run pretty cool compared to many other oil temps I have seen.
Coolant temps are also normal. Your truck does not have a coolant temp sensor, but the PCM extrapolates coolant temp from the cylinder head temp sensors and that's what you see both on the OE gauge and the Edge. I added an actual coolant temp gauge with the sender mounted (drilled and tapped for it) under the t-stat (the normal location for a temp sender) and found strong correlation between the Edge readouts and the gauge. The gauge is undampened, so I see the changes a little faster there and can see the thermostat open and close a couple of time during warmup (temp goes up, then drops, then goes up).
Trans Temp: More or less identical to what I see. Around 150-160 is ideal also for ATF for the same reasons as stated above. I have learned that the temp sensor the Edge uses mounts up in the valve body and the PCM uses trans temp to control shifts and converter lockup (your converter won't lock until the PCM sees around 100 degrees). You are not reading bulk temp (as if you had a pan sensor) and you are not reading converter flow (the hottest oil in the trans) but something inbetween. I have a sender and gauge to read converter flow as well as pan temp (bulk oil) which is how I made that determination. Most of the time the numbers are close, but when I run hard with the converter unlocked, I will see that gauge climb rapidly and the other two readouts much more slowly. Does your truck have the tow package? Mine does (9-row cooler) but it's the 8200 GVW truck that also comes with the 10.25 rear axle and 4.10 gears stocl. The lower gears tends to make my trans temp lower than many other F-150s, but since I added 33-inch tires, my overall gearing is equivalent to about 3.85:1 and so the temps went up a little.
The only way you will achieve continually "optimal" temps is with thermostatically regulated oil temps with coolers and such. I think the Ford F150 temps are so close to nominal that the expense of doing so is not justifiable.
