I understand you can't share the configuraiton as you mention so forgive me if this is obvious stuff you have already checked.
Since you are using OSPF with LDP, I assume you have RSVP signaling for the sessions and OSPF traffic engineering is turned on. Your path selection will be limited by two additional factors in addition to the standard OSPF cost.
EROs or explict hops that get configured on the LSP associated with the LDP session.
CSPF calculations on all the available paths unless you have turned CSPF off on the LSP or globally.