I once asked my stylist about a body wave perm. He cringed! oh my...
You might need to put some layers in your hair before trying to perm. I have thick hair and it gets incredibly weighed down when it hit mid-back and all one length. So... the perm might not help if the hair itself is not styled well as a foundation to the curls.
And I get really frustrated with the amount of time my hair demands too.... I would love one of those quick 5 minute do's, But my hair has different ideas... it has some waves that inevitably don't curl the way I want it to. So, I ended up asking my hair dresser to cut & style it in a way that could accommodate natural drying if necessary.
Also, I decide to embrace straight instead of curly. I spent the money on the Chi straightener. Works so much faster than cheaper brands. And unlike curling irons that require to hold various sections of your hair for 5-10 seconds each, the straighteners work as quick as it take to pull it down the hair. 1-2 seconds. Something for you to consider...