Hello, here is one solution i found:
http://plentycom.jp/en/steermouse/index.html
It lets you cutomize your mouse exactly as @Zacchino is offering or whatever other combination you can think of that involves mouse clicking, wheel + shift, alt, cmd buttons.
Also you can save presets for each application independently so the predefined mouse asignments don’t interfere with other applications. It switches the presets depending on active application you are working in.
It has 30 day trial which let me test out all the details and works perfectly, no lag, no errors. Full version costs only 20 usd which i think is nothing compared to what you gain.
This one is for mac only but surely there must be something similar for windows too.