Proctological ?? hahahaa. It's a good sign that a VC or investor wants to do a background check. That means their interested. I would not give any personal or business account #'s. OK to give your tax ID#, but and you will need to qualify them as an investor before you give your social security # if asked. You need to do your own due diligence on the investors as well.
Anything like this you need to let your attorney be involved or field.