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This is what I would suggest.
The one that I'm using is more similar to the "Byllan" model shown 2nd from the top. Mine has a handle at the top too, and little cups on each side where I store spare batteries and picks and capo and slides and Ebow. Mine also has little zippered pockets underneath where I could probably keep a couple extra sets of strings. Looks a lot like this one, similar shape. Imagine it covered with velcro.
Mine is almost the exact same model as this one: https://www.amazon.com/gp/product/B005DIQDI2/ref=pd_sim_147_3?ie=UTF8&pd_rd_i=B005DIQDI2&pd_rd_r=Y8AZX0X32QY6RHT3CDTE&pd_rd_w=rJf6W&pd_rd_wg=wZRbH&psc=1&refRID=Y8AZX0X32QY6RHT3CDTE and I just went to a hardware store and bought some velcro and that pretty much holds everything in place very well. Your comment indicates that you're planning on screwing your pedals onto something so this lap stand probably wouldn't work for that.
Here's the board I use it has bean bags under it so it doesn't roll around on your lap, I'm sure it'd work for just a keyboard and mouse.