That's a hard one, Do you realy need more zoom, Or do you need a sharper and more clear lens maybe?
I am not sure about the situation you are in, because i am a canon shooter, But because i always shoot sport, I am also always looking for range, Nevertheless, I will soon change my 100-400mm Lens for the Sigma 120-300. First of all to get more light in, and a nicer background. But it seems to be much sharper also at f5.6 then my 100-400 is at 5.6 (Realy in the middle of the picture)
Why i post this in a topic where we are talking about more zoom. Well, because I also have a very nice macro lens (100mm 2.8 L) It is only 100mm but much more charp then the 100-400 and it has less chromatic aberration.
I Have shot before some "Macro" shots with my 100-400, and I also shooted some sport at a not realy importend game.
Well, to be fair. the quality of the pictures from the 100mm Lens are so much better that i can crop 3 times more in my pictures if i use that one compaired to the 100-400. So in fact my 100mm is like a 300mm. The only thing is that you also lose a lot of pixles then, so i would not realy recoment to crop that much. but he. If you can crop 1 time more with a other 300mm then the one you use now, your 300mm also can become a 600mm. (off course there are some other disadvantages, like a bigger depth of field it will give you in those croped pictures for exemple.)
On the other hand, You allready use a 300mm. If you upgrade to a 400mm you will not get that much closer, even the lens will be most of the time much bigger, the distance you win is only 1.33x
IF you consider those extenders: The auto focus will slow down from your camera, and you will lose some light or speed. a 1.4x will put you back one F-stop, and a 2.0x will put you back 2 stops. On some lenses that meens you will lose the abbility to use the auto focus. because your camera for exemple only support it up to F5.6.
So, I hope this also could help you a little bit with your dessition to what you gonna do.
BTW, I do not know your lens, but maybe if you stop it down to f8 it will be sharper then wide open. In that way you can find out if with sharper images and a croped image your needs are feeded

off course you need to addit your pictures if you go for that option.