ARM II: Patients receive paclitaxel IV over 90 minutes on days 1, 8, and 15 and carboplatin IV over 30-60 minutes on day 1. Treatment repeats every 21 days for up to 6 courses in the absence of disease progression or unacceptable toxicity. Beginning 4-8 weeks after 6 courses of chemotherapy, patients undergo CRS. Patients then receive carboplatin IP over 120 minutes immediately following CRS.