With the latest software package release (PSP 1.0.0) DVI is now supported on the Mistral OMAP35x EVM board. There is a caveat to this though, in that the current EVM hardware must have a resistor replaced for the DVI to function properly, in particular resistor R18 (top side of the EVM in the group of surface mount resistors near the DVI connector) must be replaced with a 510 Ohm resistor (the current/incorrect value is 10k). With the minor hardware modification and the newer driver package you should be able to get solid DVI output.
EDIT: Note it seems that this resistor change only applies to the earliest boards manufactured (first 150 EA boards), so most folks should not have to worry about modifying their board hardware, including anyone who orders a board today.
The commands to change the output to DVI at 720p are:
# echo DVI > /sys/class/display_control/omap_disp_control/ch0_output
# echo 720P > /sys/class/display_control/omap_disp_control/ch0_mode