Thank you for enabling time to research and respond.
Since the SCC has the authority under the Constitution and Virginia Code to prescribe its own rules of practice and procedure (please see the below public domain link) and the SCC is a traditional regulatory rather than enforcement agency, I could not locate authority that would compel the SCC as a finder of fact to determine conflicts of interest related to the matter.
Although it would appear reasonable that the SCC would need to determine conflicts of interest as part of its fact finding role, their rules of practice and procedure do not appear to compel that that determination.
Your recourse would appear to be through the courts with concurrent jurisdiction or through the Supreme Court on direct appeal under the Constitution.
A 1960 case involving Gould, while not on point, may offer some support on voting rights as expected property rights (in that case they were barred due to laches due to failure to assert those rights in a timely manner). I am providing a direct link for your reference:
I apologize that I was unable to provide on point information as the complexity of the issues may require many hours of proper research. I hope the above is still helpful information. If it is not responsive, please do not feel obligated to Accept.
A public domain website that may be helpful to your independent research and perhaps blog opportunities on the issue is the following:
You may find the engaging a local attorney or paralegal simply to conduct extensive research on the issues may be worthwhile.