I am not an expert on Taneycomo, but I have fished it multiple days several times over the past 15 years. Here is some general stuff.
The flow when they not generating at Table Rock Dam is nil and the river acts like a lake.
The river fishes very differently based on flow.
There are several wade in access points at the state park/Shepard of the Hills.
The water coming off Table Rock say down to Falls Creek is cold even in the summer. My guess is it is 45 to 48 now.
From the dam to Falls Creek is good fishing- no barbs and catch and release only.
Best guess right now for not being there is for bobber/strike indicator is #18 to #24 Midges.
The water is usually very clear 9 to 12 ft 6x tippet would probably be a good starting point.
The bows usually bite softly.
For specifics check with the folks at River Run Outfitter they are good folks and will be willing to help. They fish the upper section from the dam on a daily basis in drift boats.
The will have any fly tying material or pre-tied flies you will need.
River Run posts regular reports on the fishing above Falls Creek and has a number of fly patterns/recipes they fish online.
http://www.riverrunoutfitters.com/Middle to the lower part of the river the folks at Lillys Landing will be a good source of current information. They have a well-stocked shop.
I usually fish 1/80, 1/100, 1/124 jigs in white and yellow either on a fly rod or on ultra light spinning rigged with 4 or 6-pound line with a 6 or 7x leader, a tiny piece of split shot and a foam bobber.
Midges should also work.
During the summer tourist season, there is a lot of pressure on the river once you leave the trophy are below the dam the rainbows are spooky.
Lillys website has a lot of information on Taneycomo.
http://www.lilleyslanding.com If you stay overnight in Branson I always stay at Lillys if with a fishing-buddy. It is very convenient, quiet and reasonable. If you are feeling a bit lazy I have caught plenty off the docks there. If with the wife then we stay at Big Cedar nice place but too pricey and too far away unless you want to fish Tablerockbut it keeps the wife happy.
If you get a chance and feel like a splurge hire Carolyn the owner at River Run Outfitters for a drift boat trip. She has got be in her 70s but she can push the drift boat upstream no problem. She can put you on fish, she can improve you casting, teach you about fishing the river, she is a fishing machineand she is fun to fish with. Watching her cast big streamers into the wind while anchored above the riffles is awesome.
If you have some articulated mice and are up for some late evening night fishing the docks at Lilleys or the public boat launch over at Cotter Ark.3x,4x or 5x tippet on a 7wt.on a 5wt if you feel lucky.load up your best double hall and strip it back steady.
My 2cents and hope it helps