The tape will hold until you get more staples.
You did a nice job on that ironing board.
I reading all the other solutions, also.
I have some wooden trays that may have found a use ... I have been using a towel laid over a piece of 3/4 inch plywood (a cutout for a sink, I think) ... however, the finish on it has some gaps and I find the towel will flip seams around/over at a most inopportune time.
Nice thread, quilters! Thank you for the question and all those answers.
This is all so fun!