Hey guys, kinda related to the relay idea, if Tony has the underhood relay center, he might be suffering from a loose firewall passthru connector. Typical failure mode for a relay would not be what he'* experiencing. If the relay latched, it would most likely have held. Peak current draw happens when first energized. After latch, the current demand of the coil decreases, which makes it 'easier' to hold.
He doesn't likely have a short, no fusenpoppen (german for popping fuses), so most likely a loose/worn connection.
Tony, what I'd do at this point is get a friend (preferably bikini clad of the female persuasion on a very cold day) and have them shake and wiggle connections under the dash and under the hood, near the firewall at the passthru, etc., while you watch for results in the pilot'* seat.