Glad you dug Point Park. Here are other options for great views close to downtown Chattanooga that are free:
Sunset Rock - On the western brow of Lookout Mountain
Parking's easy and there's a nice hike available if you have time. (Neither of those are my pics, by the way.)
Signal Point - Signal Mountain, just north of downtown Chattanooga
(Not my pic either.) Signal Point is part of the National Parks Service's National Military Park in and around Chattanooga due to its Civil War significance.
If you're willing to walk .4 miles from there on a trail, you can get to this amazing view:
There's a solid
Italian restaurant on Signal Mountain on the way to Signal Point, too. It's good enough on its own to warrant a trip up the mountain. The views are just icing on the cake.
(Also keep in mind that the drives up both Signal and Lookout Mountain are pretty scenic in places as well.)
Missionary Ridge - eastern side of downtown
(Not mine.)
This one is also steeped in Civil War history. There are several areas on the ridge where you can stop, read the Civil War plaques, and walk around. But this one is just as nicely enjoyed on a slow, north-south drive on a street that straddles the top of the ridge.
If you really want a restaurant with a great view, halfway up Missionary Ridge there's a BBQ place called
Sugar's Ribs that got a solid view from the deck:
(Not mine.)