Three separate sections of the Guide to Advancement prohibit scout access to that list both for a) privacy worries and b) concerns that scouts will simply skip/bypass the scoutmaster or unit leader meeting (required under 7.0.0.3 The Scout, the Blue Card, and the Unit Leader) and go direct to MBCs.
The three sections are
7.0.2.1 Getting Started (βThe council or district counselor list is reproduced for distribution to troops, crews, and ships. Scouts should not have access.β)
7.0.2.2 Web-Based Counselor Lists (βScouts should not have access.β)
7.0.2.3 Unit Counselor Lists (βDue to concerns about merit badge counselor privacy, and since Scouts should receive the names and contact information from the Scoutmaster, unit counselor lists should not be made available to Scouts.β)
If he needs a MBC, the place to go is the SM/unit leader.