How about putting a small table next to your ironing board? I put my iron
in a small brownie pan...on top of a silicone mat which sits on a small board.
I don't have a lot of room for another table so I just leave it on the floor
when I want to use the whole board. Extra exercise.
My iron stands at an angle. Might not work for everyone.
Depends on the kind of iron you have. Or get a bigger pan?