Well, I do know a way . . . but I'm not sure if you'll want to try it (much).
I used to get the silky press, and this basically was accomplished by 1) using a different shampoo from usual (to remove buildup) and then 2) applying TCB hair & scalp conditioner to the hair from roots to ends (a moderate amount, no need to be too heavy) while it was still damp and allowing it to air dry in twists or braids, and 3) pressing hair with a pressing comb using high heat (17-18 with the gold n hot), or use a comb off the stove (that's what my mom always did, and somehow I managed to live through this for ~15 years, with no plugs burnt out).
I haven't worn a silky press in a very long time for three reasons:
1. This is the way I always did my hair and IT WAS STAYING THE SAME LENGTH -- about 2 inches below shoulder length. I figured I needed to make a change if I wanted to grow my hair longer.
2. A silky press requires extreme heat which is not good for the hair.
3. TCB hair and scalp conditioner contains mineral oil and petrolatum as the first two ingredients and I figured out these were the culprits in causing my back to break out. However, I will say that in my pressing experience, which has been my whole life, TCB always gave me the straightest hair and for the longest time before it reverts.