There are multiple new condition Fuji X-T1 with free 35mm f2 R WR lens promotions currently running, but if all you want is the X-T1 camera body and don’t want/need the 35mm f2 lens, you can go the used route for the X-T1 body only.
At B&H Photo prices start at $560 with free expedited shipping in 8+ condition.
At Adorama [page down to see the options] prices start at $539 plus shipping (over $10 for the slowest shipping method).
Both B&H and Adorama offer 90-day warranties of their own for used cameras they sell on their respective websites.
If you are a more high-risk shopper, at Amazon Warehouse Deals you can get it seller-refurbished for $480 by 6ave, or for $489~ in “Used – Good” condition by Amazon Warehouse Deals itself. There are no promises of warranty, but they have a return policy.