There is a solution using a Triscend E5 Configurable System-on-Chip (CSoC) device. The E5 contains a performance-enhanced, embedded 8052 microcontroller, similar to the Dallas 80C320. Each E5 device also contains between 3,000 to 30,000 gates of programmable logic, between 8K- and 40K-bytes of XDATA RAM, and up to 252 general-purpose PIO pins. The lowest-cost member of the E5 family starts at just US$9.00 for a single piece, through distribution.

There is additional information about the 8052-based E5 family from the following link.
http://www.triscend.com/products/IndexE5.html

Here are references to a relevant application note and reference design using the Triscend E5 with a NetChip NET2890 full-speed USB peripheral controller.

The entire USB interface requires just 30 of the E5's internal programmable logic cells. The smallest E5 devices has 256 such cells, while the largest has 2,048.

AN19: Interfacing the E5xx to a USB Full-Speed Device Controller
http://www.triscend.com/products/an19.pdf

RFD-03: E5+USB
http://www.triscend.com/products/updates/net2890_i2p.zip