My suggestion would be:
1. You keep the chat support regarding sales & pre-sales questions.
2. Tech support chatroom should be created, where members can chat about their problem with other members before creating a forum post. If the problem is real then they can create a forum post or search through existing resolved post.
3. Member having problem can create a new room for his/her problem where any other member can enter and leave suggestions. Active rooms will replace recent forum posts. see more More quick way of solving problem :)
4. Forum for each dolphin module. It would be easy for members to find the solution by going to relevant forum.
5. Paid support chatrooms for member having problems other than dolphin. Whoever will help can earn money ;) (Like you mentioned above)