You could always go over to Hiawassee River at Reliance TN, its stocked weekly year round, and is full of trout . Its about 50 miles from Chattanooga.
And it Has the potential to catch some big trout too.
If you havent been there before, take I-75 north coming from Chattanooga,
take the first Cleveland Exit US-74 E/ APD 40 via EXIT 20 toward CLEVELAND/ US-11/ CHEROKEE NATIONAL FOREST. Take the US-64 E ramp toward OCOEE. to US-74 E/ OLD COPPER RD. Turn LEFT onto TN-30. to Reliance, TN At reliance, cross the bridge over the river , follow the road around there will be signs marking the power house ... from the bridge up to the power house is stocked.
More water than you can cover in one day! If you wade in river, where a life jacket, the river rises quickly when they start generating power, and wear felt soled waders, those rocks are slippery, and will slice you like a knife, I know from experience. You can canoe or use belly boat tubes, but canoing is only recommended if you have some white water experience when the water is up, at low water periods its fairly easy going.
There is a trophy section that is artificial lures only, if you stop at the tackle shop on the river they will give you more info on the river
here is the generation schedule
http://www.lakeinfo.tva.gov/htbin/lakeinfo?site=HIH&DataType=All&submit=View+info
