We would personally recommend Brosix Instant Messenger. This is a secure messenger for internal communication for businesses. Their service comes at a reasonable cost - convenient for smaller companies, and you can benefit from desktop features that similar services do not provide - screen sharing, video calls, whiteboard, control panel for the admin, and so. Some people consider its UI a bit old schooled, but if your team prefers straightforward and simple tools, it would most probably fit them. What’s more, you have a 30-day free trail to test without having to enter any payment credentials.
You can see all the features here: https://www.brosix.com/features/
A tool that provides such an option is Brosix Instant Messenger. It is usually used by businesses that look for secure communication with remote/office workers. You can ask for remote screen access or provide such. At the same time, you will be able to continue with your video call and see the other person/people.
You can read more in this article:https://www.brosix.com/blog/screen-sharing-work/
Brosix instant messenger is offering free team communication support during coronavirus outbreak. Just follow this link https://www.brosix.com/blog/coronavirus/ and fill out this form if you are interested.
You can use:
Riot.im
HipChat
Zangi Business Solutions
Troop Messenger
I heard that HipChat was discontinued few years ago so would recommend Brosix instead.
You should try Brosix instant messenger. I have been using it for three years now I haven't had any problems with it. It has a lot of features.