I am pretty sure your charging system is the same as my 06 Ambassador which uses the "boost rely made by Trombetta" to tie the chassis and coach batteries together while the engine is running. Check the voltage on the large terminals with engine is running, voltage should be the same. If not have somebody depress the boost switch, now if the voltage is the same you know the relay is good and the bird circuit board has failed. Now if the chassis side of this relays voltage is higher than the house battery side the relay has failed. Trombetta has 2 versions of this relay. The upgraded version has silver contacts instead of copper. If I recall it cost around $45, call them for more info. Hope this helps, PM me if I can be of further assistance.
Blessingd; Keith
On edit; with the engine off have someone depress the boost switch, you should hear and feel the relay engage, but just because you hear or feel this the relay engage it still could be bad as mine was. With battery cables disconnected and the boost switch depressed you should read continuity through the terminals.