Do you absolutely need to use a balun with a dipole/doublet type antenna? No, you don't. Quite a few people don't and seem to be doing just fine.
Baluns do two things, make for a 'smooth' transition between a balanced antenna and an unbalanced feed line, and can transform impedance. A balun's primary job is making that transition from a balanced to unbalanced state, the impedance transformation is a secondary ability. So -why- you use one can make a big difference in what 'kind' of balun to use. Another secondary characteristic of a balun is that it can provide some 'isolation', sort of keeping that RF where it's supposed to be and not where it shouldn't be. That's a lot like a transformer in an audio line and just like an audio transformer, that 'separation/isolation' depends on using the right transformer in the proper way. Which brings up another characteristic of a balun, and that is that they are frequency specific, or maybe 'band' specific is a better way of saying it.
Confused yet? To simplify it a lot, using a balun isn't strictly necessary. They have abilities that can certainly 'help' things, but they also have liabilities that are bothersome. They are not a 'miracle' cure by any means. So what should you do? Why not make your antenna, try it without a balun, then try it with a balun? Then you can decide for your self. You will see small differences in performance, not huge ones.
- 'Doc