Over the past 15 years I have made hundreds of river dives. I typically go with local guys that own boats and charge a bit for expenses. I will give you my perspective for what it is worth.
I saw the ladder mentioned above. Small boats (17-20ft) do not have a ladder that is designed for the weight of a fully loaded diver. River divers will typically ADD weight to make dealing with the current easier. The standard ladder will not last very long.
You will quickly learn (through experience) how many divers are TOO many for your boat.
Flying a dive flag is critical. Although many boaters ignore it, flying a dive flag is very important for MANY reasons. Just DO IT.
If you think staggering, stumbling, wet, slippery, restricted vision divers (wearing heavy clunky tanks) are not going to have an affect on your boat, you are kidding yourself.
The first thing I generally do when diving off a river boat is check the anchor to see that it is dug in.
If at all possible, leave a look-out on the boat.
Make your way to locations in front of the boat so that when you surface, the current will take you to the boat.
Log jams contain fishing line, rope, and vines. Take trauma shears, line slitter, and knife with serrated cutting edge.
Use extreme caution when dealing with boats and boaters. They are deadly. They do kill divers. I have seen it happen.