Ok, several things here. Starting off, it’s important to understand your wiring topology. There are multiple ways to wire a 5-way, so you have to know which you have before you get started.
When you say the switch isn’t a neutral configuration but there are white conductors bundled in the box, that suggests to me this is a neutral configuration. Obviously, I’m going on the limited information you’ve provided, but that’s the first thing that jumped out at me.
To analyze, you have to look at the conductors attached to the switches. If you have Romex where multiple conductors are sheathed together, it’s easier to analyze.
Your first task is to identify the box which contains the contantly hot conductor. That’s going to be the box where the Inovelli will go.
Then look at the other boxes. They’ll probably have 3-conductors (not including a ground) running between them. If you have Romex, that’s a 3-wire. So figure out what you have in those other boxes.
You also have to figure out where the load is, in other words, which conductors, go to the light(s). This can be the first box or the last box. If it’s the first box, then your last box will only have a 3-wire. If it’s the last box, you’ll have a 2-wire and a 3-wire.
If you truyly have a non-neutral, then it will look different than what I just described, but I’m leaning toward you having a neutral config based on your comment.
You should review the Inovelli wiring diagrams to get a better understanding of how these are wired.
And if you are not familiar with electrical wiring, it may not be a bad idea to get help from an electrician.
Post back with what you think you have.