Non Surgical Nose Job Enough to Raise Tip?

To put it bluntly, you can't rotate the tip with fillers. You can place volume with fillers that create the illusion of rotation, and this can be a great short term solution for some patients. However I also will add that surgery will be a better solution for balance.
Another idea to consider, however, is Botox. An article by a friend of mine, Steve Dayan of Chicago, illustrates how you can selectively weaken a muscle that can draw the tip down into that hooked appearance. You would have to be seen by a physician to see if that is truly one of the reasons you have the hooked appearance, so I can't promise you that it would work for you. But if you are truly looking for a temporary, simple, non surgical solution, this would be better than fillers. More natural, and would maintain those elements of your nose that you like. I have done it for a number of patients, and if done with the right patient selection, works.

I don't think you could improve the "downward hook" appearance of your nose with Injectable Fillers. I am passionate when it comes to aesthetic nasal improvement, and I offer both Non-Surgical and Surgical Rhinoplasty in my practice.
Your nose is a bit large, and adding volume to your tip will only make your nose bigger. You have attractive features and a beautiful chin and jawline. I would suggest Rhinoplasty Surgery to deproject your tip (not raise it), rotate it slightly, and remove your hump.
I've attached a link to my Rhinoplasty photos for your perusal.
I hope this is helpful for you.