Eichler bathrooms are difficult to vent — there's just very few options for a fan of any sort and while the window in the shower is great, some true cross ventilation is really what's required.
I had the idea to open the skylight for some fresh air and it worked well. The skylights are held on by 4 screws and are simple to remove. I unscrewed it, popped it off, screwed an 18in 1X3 to one side to prop it up and screwed in the opposite side to the frame. A few days later, I stapled some screen over it... and it worked wonderfully. Albeit very ghetto.
Knowing that the prototype was a success, finding am operable skylight in the right size was the next chore. Big Orange had a Velux that was too big for $400. On a whim, I called my local go-to for doors and asked Tami if they could get in a custom operable skylight. A few phone calls and a week later, I installed the new, operable skylight... it took about 10 minutes to install.
So, if you're looking for a venting option, contact Tami. The skylight brand is Tru-Frame and they are available in Mill finish (raw aluminum) and the Bronze. The domes are in Clear, Bronze, or White. We used the bronze as it was a better match to our inside brown trim and got the "double dome" for insulation and condensation concerns. They open and close easily with a supplied pole. Mine cost about $350 and was sized to fit a 22in square curb. Yours is likely the exact same size, but measure first.