I would think that a BTA would fit in this tank if you place any other fish or corals in there based on its needs for flow and space. I have a S. Haddoni "carpet" in a 24gallon aquapod with the 75w 10k hqi lighting. I had to modify the tank for extra flow to accomodate the anemone as I found that the AP's stock pump and flow setup really stinks, but the mod seems to help a great deal. If you want more info on how to modify this I could send you the link with some pictures.
Just keep in mind how much room the anemone is going to need as the aquapod is quite small for most if not all host anemones and all of the carpet species tend to get quite large when fully open. Also, the Haddoni carpet is a sand dweller, so you will need to have enough open room to allow it to dig its foot into the sand and then open up. I have been considering contacting Current USA (maker of the Aquapod) to see if the back is tempered glass and see if it is possible to drill the back to try and tie in a sump to get more of the rock out of the display in order to open up even more room for mine.