cm10 S2 and Rotel RX-1050 when bi-wired on A and B speakers Rotel overheats easily

Probably because speaker b is a parallel amp channel to speaker a. In order to actually BiAmp you would need to add an external 2ch amp.

Also a lack of ventilation and air flow will create a large amount of heat

Thanks for your response.
there is no lack of ventilation or air flow. I do have another receiver I could hook up but I am not sure how to do it.
Here is the pic of the back of my receiver, the one that overheats.
https://www.kenrockwell.com/audio/rotel/rx-1050/D3S_1753-rear-2400.jpg

This is how you bi-wire speakers. Are you sure you wired everthing correctly?  
http://brilliancehifi.co.uk/how-to-bi-wire-speakers.htm

I wouldn't run the B&W CM10 off an AV receiver and plus your Rotel RX1050 receiver is very old and it's time to upgrade to a new AV receiver if you want to stick with a receiver. Rotel's new current flagship AV receiver the RAP-1580 is phenomenal and I would highly recommend that with your B&W CM10. Other great quality AV receivers to consider are : Arcam AVR850, AVR550, Audio Control Maestro, Marantz SR8012, NAD T787 (recently discontinued I think). 

But if you aren't doing surrounds I would highly recommend good quality stereo integrated amp or stereo separates. 

thanks to everyone who responded. i appreciate it