Simple rule to find some of the zodiac constellations after sunset? How do I find some of the constellations of the zodiac without remembering their locations on the sky?

I think it should be quite simple if you are located in the northern hemisphere and you know 
1) which astrological sign it is right now (this month)
2) where the sun set
3) the number of hours left until sunrise
4) the order of the constellations in the circle of the zodiac: Aries, Taurus, Gemini, Cancer, Leo, Virgo, Libra, Scorpio, Sagittarius, Capricorn, Aquarius and Pisces.

Straight forward logic says that it is enough to make calculations in order to understand where they should be, but I can't find any such rule on the internet. Maybe it is not so simple. Have you seen such a rule?
This is far too complicated. You can find any asterism in the sky far more simply by remembering its shape and its position relative to other (perhaps brighter) constellations.  

For the Zodiac constellations, they are all in a band that (in the Northern hemisphere) goes from East through South, to West. In the winter, that band will be high is the sky. In summer it will be low. 

And then you learn the sky. 

In winter you first learn Orion and from there you can find your way to Gemini, the V of the Hyades in Taurus.  Cancer is dim (but has that nice cluster), but next in line, Leo, is nice and bright.  

If you want to find out what is actually visible right now, go outside! If you want to check on the location or visibility of a particular constellation right now, use planetarium software.

You don't need to calculate anything.