After viewing your photos I see that you planting space is restricted by the concrete pad. Just guessing - it looks like you only have 3' to 5' between the fence and the concrete pad.
Crepe Myrtles - Muskogee has a lovely lavender/purple bloom. It is a very fast grower but gets too large for your space.
My FAVORITE crepe Myrtle is Dynamite. It is the only true red Crepe Myrtle - I am talking about "fire engine" red. Slower growing than some of the other varieties. I planted one in my Mother's front yard 15 years ago. It is 12' to 15' tall and no more than 10 wide. I prune it in January/February. I only remove suckers, crossed or rubbing branches and thin interior branches to improve circulation. NEVER lop off the ends of the branches! That is Crepe Murder. I will post a link for you on proper pruning techniques.
Wax Myrtles are very attractive. My issue is that they will grow too large for your space and they sucker profusely.
Another option is Loropetalum - ZhuZhou.
The tallest growing Loropetalum - 12' +. It is easily trained to a multi trunk or single trunk tree. The purple foliage is stunning and the hot pink blooms will take your breath away.
In the south it is semi deciduous. It drops its leaves but new ones are forming as the old ones drop. You never have bare branches like a Crepe Myrtle.
I do love the Natchez Crepe Myrtle - the pure white blooms and the cinnamon trunk make this tree a stunning addition to any yard. Unfortunately it is much too large for your space. 25' to 35' tall and 20' + wide.
I will post pruning instructions for Crepe Myrtles.
This is a good publication on proper pruning techniques for Crepe Myrtles.
https://www.lsuagcenter.com/news_archive ... yrtles.htm
I am looking forward to your decision.
Good luck and Happy Garening
If you decide on a Crepe Myrtle you may find this publication helpful.
https://www.lsuagcenter.com/news_archive ... etrees.htm