Does this wig exist somewhere?

Before completely giving up on having some semblance of decent looking hair, I am hoping some of you experienced wig-wearers can help. Here is what I am hoping for:

Moderate length (12-14")

Small cap (head circumference = 21.5")

Medium to dark brown shade (#6-ish)

Synthetic

HD transparent lace that will melt on a pale girl

Pre-plucked hairline

Knots that aren't super obvious

Softer fibers

< $150.00

What do you think? Asking too much with this?