You do not "lose" when you sell in California, you collect gains and reset your cost basis. No different than collecting gains on a stock and buying another stock.
There is nothing requiring you to move into a property with higher taxes - you could substantially downsize or leave the state entirely.
Even if your costs and mortgage become more expensive, the tax system is still there to benefit you. The tax system will always reward home ownership. By time you are on your third house you will be paying cash, so even mortgage issues will go away. I don't know anyone on their third property who has a huge mortgage...maybe a small supplemental one but that is about it.
Not sure what the "barriers" to selling are...a good realtor will cover those details for you and in most parts of California, your house will sell very quickly, my last sale was less than ten days, about the same amount of time most renters probably spend looking for a new place.