How important is the crossing to you, do you have the option of pulling the bridge during bad floods, and resetting after the water receeds?
If this is a critical crossing, I would do something like double 24" CMP, With concrete head walls/Mitered End Sections (or maybe just rip rap, depending on if bolders/rock can be found local). If the creek does come up over the top, the rip rap, or MES/end walls will protect it to a pretty good degree.
The bridge looks pretty light duty; another option would be to jack it up, 24" and pour a good concrete footer, and build bridge approach ramps, to get you upto the new bridge deck level. You might not completely remove the chance of it over topping, but if you move from a 10 year flood, to a 25 or 50 year flood; that might be worth it. The bridge approach could another wood ramp, or it could be compacted soil.
It really looks like you could set and concrete 4 6x6 PT and attach the bridge on those, but elevated to an extent.