It sounds like you're on the right track. Glass can be tough to get temps and humidity dialed in, especially during winter months. But it can be done with a few tweaks.
I wrap my glass enclosures in 1/2" foam board insulation. I cover the back, sides and top (leaving room for a heat lamp and a little air flow.
The insulation locks heat in, which allows the heat sources to run less. Less artificial heat = less evaporation so less humidity loss. It also saves on the electric bill.
Covering the screen top as much as possible will go a long way too. And if you've got room to add a second water bowl that will help as well.
...and like you said, due to the hygrometer being inaccurate your humidity may already be perfect??