Do you mean:
crouch : adopt a position where the knees are bent and the upper body is brought forward and down, sometimes to avoid detection or to defend oneself
You say 'lying but not resting" but then say, "not completely horizontal". I can't see how the body doesn't tip over! Just how much, or 'what', is off the ground? Are they in some sort of partial 'push-ups' position?
Oh sorry i didn't see your question before. You have your hands on the ground, you'r knees are on the ground too. The upper body is not touching the ground. Yes it's like push-up position that's right.
The knees are on the ground, with the legs outstretched horizontally behind you, touching the ground? Then that's in the crawl position.
But 'crawl' also means moving forward whilst in that position.
To remove the idea of movement, we would have to say, 'on all fours'.