NBC Sports California is only available through a cable/satellite/tv-streaming service. From what I recall of your previous discussions here, you do not have (and do not particularly want) to purchase one of those services.
NBA League Pass will not help you, as you understood above, because you live in the local broadcast area of NBC Sports California.
On the surface it seems counterproductive for the league to black out the local team on League Pass, since that is the team most locals would want to buy League Pass to watch. But in fact, it makes perfect sense. NBC Sports California (for the Kings, and 29 other local broadcasters - Regional Sports Networks, or "RSNs") pay the NBA for the rights to exclusively broadcast the vast majority of local games in their area (exceptions sometimes exist for games picked up on national broadcasts). The RSNs then turn around and contract with various local providers (cable, satellite, tv streaming) and get those local providers to pay a fee to host the RSN content, which is usually the games and not a whole lot else worthwhile. Still, the local providers pay the fee (typically for RSNs, I believe this is on the order of a few dollars per customer per month) because they know that many, many of their customers will insist on getting the RSN in their TV package, and will choose another provider if the RSN is not available. Every once in a while there are situations where a local provider and an RSN cannot come to an agreement, resulting in that provider's customers being unable to watch local teams, but it is uncommon.
So, ultimately, the TV consumers (and advertisers) pay the local TV providers, the local TV providers pay the RSNs, and the RSNs pay the NBA. Now, if the NBA were to allow League Pass (for a full season...about $150?) to show local teams, that's cheap relative to a TV subscription (usually coming up to say $800-$1600 per year), and a lot of sports fans would ditch the TV subscription in favor of League Pass (plus, possibly MLBtv and NFL Sunday Ticket) to save money. Of course, this would lead to the local TV providers losing money, not being willing to pay as much to the RSNs, the RSNs would not be able to pay as much to the NBA, and the NBA would in the end lose money (despite having more League Pass subscriptions). The dirty little secret is that even if a local TV subscriber doesn't watch their RSN, they still pay for it. If you assume that, say, 1/3 of local TV subscribers actually watch their RSNs, that means that 2/3 of the money ultimately filtering to the NBA through RSNs is actually subsidized by people who wouldn't even consider buying League Pass - if the RSN route went away altogether, under that assumption League Pass would effectively have to be a lot more expensive for the NBA to get the same amount of money (and the RSNs and local TV providers would also lose out on a big portion of their revenue stream). So they have an agreement - the NBA will provide League Pass, but you can't get any games you can legally purchase through a local TV subscription.
Bottom line, you're out of luck. Buying a local TV subscription of some sort is your only chance, unless you want to park yourself at a sports bar, or find a friend who has a local TV subscription...etc. It's designed that way on purpose.
