Stockton lake is about 60 miles from Branson, we sail our h16 there. It is mainly a sailing lake, with lots of good wind. If you have a chance you might want to try it out.
If you are going to be in Branson during weekdays there is not as much traffic on the lake. You can probably put in down by the dam at the state park, if I remember correctly the ramp is a bit steep. Indian point is also by the dam and I believe there is a boat ramp there also.
Here is the website for Orleans Trail at Stockton
Here is a website for tablerock lake
My family will also be in Branson next week, but I won't be bringing my boat.
Happy Sailing, John