Step 4 The Deck
Another big consideration is how to secure the top deck. Once your culverts are secure, you'll want at least 3 feet of fill over the top of them, which will allow water to back up some and pressure-flow through your culverts which will in turn decrease the frequency at which your low-water crossing is overtopped. You could build this fill out of well-compacted dirt, gravel, or bull-rock, or even concrete the whole volume. My experience has been that dirt is just fine as long as the culverts aren't undermined. If you build good headwalls, with a deep toe wall, the culvert fill can be just dirt.
If you want to concrete the drive across the top, treat it just like a standard driveway. However, for added security against undercutting, you should turn down the edges of the deck to earth-form another 3' deep toe wall. Like this:

If you're only going to concrete the driveway in the vicinity of the low-water crossing, then concrete about 20 feet past the high-bank line of the creek, and about 2 feet vertically above the high bank. That way, any washout will be well away from your expensive culverts, where it's easier to repair.
Another big consideration is how to secure the top deck. Once your culverts are secure, you'll want at least 3 feet of fill over the top of them, which will allow water to back up some and pressure-flow through your culverts which will in turn decrease the frequency at which your low-water crossing is overtopped. You could build this fill out of well-compacted dirt, gravel, or bull-rock, or even concrete the whole volume. My experience has been that dirt is just fine as long as the culverts aren't undermined. If you build good headwalls, with a deep toe wall, the culvert fill can be just dirt.
If you want to concrete the drive across the top, treat it just like a standard driveway. However, for added security against undercutting, you should turn down the edges of the deck to earth-form another 3' deep toe wall. Like this:

If you're only going to concrete the driveway in the vicinity of the low-water crossing, then concrete about 20 feet past the high-bank line of the creek, and about 2 feet vertically above the high bank. That way, any washout will be well away from your expensive culverts, where it's easier to repair.