You could do a speed run! I did it once, the result of which is my sig now. Thing is, I hadn't actually planned on doing a speed run--I was just playing really, really well that day, so I went all the way. It's only after I finished that I put my head into it and made a detailed plan of my ideal melee run... But I haven't been able to replicate it since.
So try that! With all your dodging and low level experience, it'll be right up your alley. And before the mid-point it's not even a low-level run anymore, so it should be easy for you!
Edit: ideally, it has to be your own plan. Anyone could replicate the pyro speedrun they saw on youtube. But to make your own takes not only skill in execution, but complete knowledge of the game--where every item and enemy is placed, and what you'll need where and when, and when you pick it up, etc.