Hey!
How are you? Hope you and your family are doing fine in these tough times of covid.
I'm Gaurav. Since December last year, I've done over 25 BigBlueButton installations for people all over the world.
I can whitelabel the BBB instance and also help you configure it with moodle.
I have expertise related to BBB and Moodle integration.
I can actually offer this to you for around $600. You will need to provide the server (VPS) which I'll help you choose based on your budget and BBB's minimum requirements. For Moodle, you can use a webhost or a VPS - I would prefer a VPS. I have experience working on GCP, AWS, Azure, DigitalOcean, Linode and so on, so we can discuss regarding which one would be the best considering the budget and the geographical location of your BBB users.
Let me know what you think and if you have more questions - I would be happy to answer.
In case you are looking for minimum server requirements for BBB - on DigitalOcean you can do it for a flat rate of $40 a month. Check their droplets with 8 GB RAM, and 4 vCPUs
For Moodle, we can do with 2 GB RAM and 1 vCPU, therefore the minimum would be $10/month, however I'd recommend going for a 4 GB RAM VPS which will cost $20 a month. Apart from this, there shall be no recurring costs.
Looking forward!