Alternative to hamburger menu? UI example inside

I'm designing an app that has a lot of secondary functionality (it needs to be there), such as "Video guides", "About", "FAQ", "Connection Guide" etc.

Previously, we had a tab bar with 3 tabs (Home, Programs, and More), so all this secondary functionality was in the "More" menu. Now, we've combined the Home and Programs tab to one tab, which makes using a tab bar kinda ridiculous. We've decided to go with a hamburger menu in the top left corner since this is all secondary navigation that the user will rarely use anyway.

However, I'm getting cold feet doing it this way, since everybody is saying "ditch the hamburger menu" and all that jazz. And it looks bad on the iPhone X. However, I am unsure what my alternatives are? I mean, doing a tab bar with "Home and More" makes 0 sense. Looking forward to hearing your ideas. Below is a screenshot of the current UI:

enter image description here

Just to clarify some things:

  1. I can't remove the battery and help icon. It's an app for hearing aids, so the battery icon shows the battery level of the hearing aids (and whether both HAs are actually connected). You can tap the icon to show more information. Tapping the question mark enables a help overlay. Our users are ~65 years old, so they need this - trust me.

  2. And yes, I'm not searching for a better icon. I'm worried that "hiding" this navigation will hurt, but since it's all secondary functionality that the users rarely will use (and I'm 100% sure of this) I think it's safe to say it's okay to hide it, since it will then not cause any disturbance for what's actually important. I was more looking for a pattern that fits on both iOS and Android, since iOS generally say "don't use a sliding navigation drawer", which this hamburger menu will most likely end up being.