I play without the HUD on ps3 and I am having trouble with archery. Any advice?

Get used to using the tip of the arrow for your sight.

Practice on a large object, like a building or a gate to see where you need to be.

I tried doing archery without the HUD once, and it can be really rewarding. I would recommend going somewhere with archery targets, as well as other smaller targets (IDK why but I chose the Blades Temple), and turn the HUD as transparent as possible while still being able to see it. Make sure you know where the HUD indicator relatively is on your screen. Once you feel like you know where it is on your screen, turn the HUD off, and practice a bit. You just need to do it enough to know where the arrow is going to go (relatively)

I play the same way, and got really good with Archery without it.

I tend to just Imagine where the crosshair is, it's more of an Instinct now, and I know when my enemy is in the center of the Screen.

Just keep playing like that, and you'll get the hang of it.

Another tip for Archery though, You can curve your Arrows in the direction you're moving when you fire them. It's a good way to hit moving targets without having to Guess where they'll be when your arrow reaches them.

You just have to imagine that the crosshair is still there, get used to the trajectory of the arrows and you'll be golden!