Superman 32.
The plane you think you saw in Bahrain has not been sitting there for a long time. As you might guess CARGO airlines fly at night and Bahrain is one of our layovers. So you might have seen several planes at the blob area in Bahrain. But it's true the planes need a paint job, other than that maintenance is not to bad at Falcon.
Cirrus81
Nothing wrong with your plan but you do require a 1900 PIC rating the local authorities are not to happy with 121.SIC checkrides because it is not printed on the license. But give Falcon a call might have changed by now