I noticed you were looking for something cleaner and simpler, that was also something new and clever. I came up with a design where the "5" portion repeats as the "S" in "TEES", while also being a stand-alone icon that can be used when the entire logo won't fit. I look forward to hearing your thoughts. Thanks!
The clean one-color design allows for quick and easy color changes, and it also ensures that tags and other smaller printed items will still look great!