I will admit you have me looking at French press but I want to make this whole grind this 2nd nature before I mad science into presses.
This thread has brought back memories of folks percolating their coffee.
Back when folks ground the coffee in the machine in the coffee isle at the market.
Percolating is sub-optimal. You don't want the water to boil. Ideal temperature is about 205 - 210 degrees F.
I measure water (6 oz per cup of coffee / per 2 T coffee beans, plus about 1oz extra to account for evaporation), then microwave just until bubbles start forming. Then I take it out and pour it in the press pot.