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Join Date: Sep 2009
Location: Minneapolis: DL DM charter 2.3MM
Programs: A3*Gold, SPG Plat, HyattDiamond, MarriottPP, LHW exAccess, ICI, Raffles Amb, NW PE MM, TWA Gold MM
Posts: 102,617
Bucharest? I may be wrong, but I don't think Romania is in schengen. It's the hub for Tarom (?), which is a SkyTeam member.
Would one fly via Jordon or Egypt? Tel Aviv? Although Israel might not require a visa for the OP to go landside and get luggage, although I would expect their immigration to be less flexible, while their security checks can take a long time.