The best and strongest ladders are by Coachmen/Adrenaline. They are steel tubing and welded angle iron, this is then powder coated. You could purchase one of those. I simply built a sturdy one out of oak for my trailer when I added a high Murphy bed, and stained and varnished it to match our interior.
Buy (3) eight foot 1" x 3" oak boards, and a single oak closet rod. Depending on if you prefer flat steps, or round grab rails at the top. Cut the two side pieces. Get your angle correct for your top bed, lay out the pattern for the steps, and dado in the 3/4" slots to put them. Use good wood glue or Gorilla glue. and drill in pilot holes for a couple grabbers in each side. The oak is indestructible, looks nice, and is far stronger than a 2x4".
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