The best replacement for total pressure is static pressure.

The best alternatives to total pressure are rated as following:
★★★★★  static pressure
★★★★  stagnation pressure
★★★  partial pressure
★★  gauge pressure
★★  absolute pressure
★  mole fraction
★  dynamic pressure

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Speaking about total pressure, one probably shouldn't forget about kp.

Other search terms related to total pressure and their ratings are:
★★★★★ kp
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total pressure
static pressure
stagnation pressure