After doing a couple of sketches and plans I broke out the styrofoam, hot glue gun and sharp knives and got to making myself a much improved replacement scoreboard setup, patterned after Mayan temple architecture (more or less).

The base is roughly 5.5" wide and about 4.5" deep; I didn't bother measuring much when laying it out except for the central stairs that have the scatter diagrams on them; they're measured fairly carefully to ensure the steps are the same depth and a consistent width. Everything else I just scaled off what looked good alongside the stairs and with the two thicknesses of styrofoam insulation board I had available - and for the thicker stuff, by what I could get out of the fairly small leftover scrap piece which is all I had lying around!
The platforms either side of the stairs will eventually be done up like ceremonial pools with paint and gloss varnish. I thought of just doing stone platforms, maybe incorporating team reroll trackers in the stonework on each platform, but pools are more interesting than more stonework.

The three alcoves on the front are for a weather indicator in the centre one and score indicators on either side, sized to fit the cubes in front of the temple in the first photo. The two score cubes will go 0-5 and the weather cube will have the five types of weather in BB, with Nice Weather on there twice because, hey, six sides, might as well and because it's by far the most common BB weather result. They'll stick out of the front of the alcoves just enough to be easy to pull out and swap sides.

Photo above is the state of play as of the end of the night last night, with all the numbers done on the steps for both the Scatter and Throw-In diagrams, all six weather icons done, and two runs of null to five done to glue onto the score indicators.
Tonight I primed the whole temple black, with a healthy shot of white glue mixed with the paint to toughen the styrofoam up. All three indicators have had their symbols glued on and I'm going to start priming them as soon as I finish writing them!
Painting should be fairly quick; I'm planning a tan/brown/yellowish sandstone sort of colour, as it's more interesting than default grey for stonework.
I'll eventually do dugouts and turn/reroll trackers to match, also to replace dugouts/trackers I did quickly back in December.