I'm a bit surprised that some obvious (from my point of view

My be my point of view is unique... but look.
My usual way to listen/collect music:
1. I download a pile of mp3.
2. Then I put them to Now Playing, listen them, usually in background.
3.At the end put what I like in my collection (usually it's just small part of the pile).
Isn't it common way??
On the step 2 the most common situation - I hear that current song is crap.
So, I need a fast, 1-2 clicks solution to do the following:
1. Remove a track from the Now playing - I don't need a crap to be listen twice.
2. Immediately jump to a next track - I don't need to continue listening a crap.
To do this in MM I should:
1. Switch to the MM main window.
2. Right click on the track.
3. Remove the track.
4. Click on Next.
5. Switch back to an application I'm working with.
No too handy

So, I'm looking for:
Option - when click Next in the Tray menu - remove current track from Now Playing.
or
Adding Remove item to the Tray menu (and Remove should immediately jump to the next track).
Is it possible in MM?
Thanks!