Final answer:
The diagnosis is likely disseminated intravascular coagulation (DIC), as the lab findings and clinical picture, including thrombocytopenia and markedly elevated d-dimer and fibrin degradation products, match the criteria for DIC. There is no evidence of heparin-induced thrombocytopenia (HIT) given the negative heparin-induced antibody test.
Step-by-step explanation:
The patient's presentation and laboratory findings, such as low platelet count (thrombocytopenia), raised LDH, presence of schistocytes, elevated d-dimer and fibrin degradation products, along with borderline prolonged PT/aPTT and reduced fibrinogen levels, are suggestive of disseminated intravascular coagulation (DIC). The negative heparin-induced antibody test rules out heparin-induced thrombocytopenia (HIT). Given the clinical history of adenocarcinoma, the patient likely has a paraneoplastic syndrome causing the DIC, which is exacerbated by the underlying malignancy.
Considering the flank pain, dysuria, and difficulty voiding, there may be an associated urinary tract involvement; however, with an unremarkable renal ultrasound, this does not explain the thrombocytopenia and other lab findings suggestive of DIC.