Buy another PB or get EB (cooling system question)

[Snakebitten]

Wouldn't increasing RPMs, increase engine Temp? Seems like doing that would be like throwing gas on a fire versus water.

Just the opposite in an Ecoboost.
The engine management on an Ecoboost is torque request based. When you press the accelerator, you are doing nothing more than creating a "measured" torque request. Purely digital. The engine management software then goes about meeting the request for X amount of torque.
If you manually lock out gear ratios, you are forcing the torque request to be made using additional rpms, rather than additional boost from the turbos. Boost dumps far more heat into the coolant than rpms does. And in fact rpms increases the coolant flowage of the water pump.

On a 3.5 Ecoboost you will normally witness an almost immediate drop in coolant temps as boost decreases and rpms increase.
It's pretty cool to watch if you have digital temps enabled.

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[amschind]

Wouldn't increasing RPMs, increase engine Temp? Seems like doing that would be like throwing gas on a fire versus water.

In a vacuum yes, but recall that the water pump is geared to the crank. Coolant flow is RPM dependent, so you get more heat but EVEN MORE cooling via increased coolant flow. The better solution is a bigger radiator, but Ford chose not to bless us with such gifts. That's similar to what Snakebitten is saying above, in that the throttle command for X torque means that you need (rectally sourced numbers10 PSI at 1.5k RPM or 3 PSI at 3k RPM; assuming a constant mixture, the amount of fuel being burned is the same under both conditions, but the higher RPM scenario has ~twice the coolant flow.