There's not a lot for Spectrum to add because they have most everything, and the legacy BHN customers have slightly more complete lineups than everyone else. You guys got some of the last Viacom HD channels that legacy Charter didn't get yet (but some legacy TWC areas did). It really only leaves some things they carry like Discovery Life, BabyFirst TV that are out there.
I would guess Olympics Channel HD will be in the Spectrum Gold package. I can't imagine minor sports like that commanding coverage for any other tier. I do think they will push for more than a Sports tier.
We haven't seen legacy Charter areas that got NBA TV get NBA League Pass yet, so that could be something to spot for in the Fall when the 2017-18 season begins. The only provider I've seen launch the Team 10 HD and Game 10-14 HD channels is Cox. AT&T U-Verse always had a Team 10 channel in HD for League Pass, but still does not carry Extra Innings or Center Ice, to my knowledge.
Spectrum doesn't update their programming notice page, so unless they turn up in a newspaper, there's not much to see. And at this point, I think it's more channels shutting down than new channels coming. The market is in decline, and I don't think it's coming back. The streaming cat is out of the bag, sports was one of the big engines keeping the pay TV sphere alive, and it's sagging now too.