We live in a Community Property state. Some years ago, I was notified that I was about to receive a 5-figure inheritance from a more-distant relative. Totally unexpected! I decided that I really wanted to keep it as Separate Property, and have it TOD to our kids upon my demise. And I instructed them in advance how to receive it, and how to maintain Separate Property status for themselves.
At least in our state, the dangers of co-mingling and losing Separate Property status are deeper than the obvious. Any "Income" derived from Separate Property is deemed shared property. So if the $$ are invested in a mutual fund, for example, any interest or dividends from the fund are "Income", and therefore must be kept separate from the Separate Property account. I invested the inheritance in a mutual fund (taxable), with dividends taken as cash. The cash, as it is shared property, is for us to use together. The fund's principle, plus reinvested capital gains, retain their Separate Property status. I felt that this was equitable. DW agreed, and did the same later when she received a similar inheritance.
If one wanted to maximize the growth of the Separate Property over time, it could have been invested in a growth fund, where dividends would be minimal to non-existent, so little growth leakage into Community Property.
Inheriting a house and trying to keep it as Separate Property has many landmines to avoid, as any Community Property used to maintain it causes co-mingling. Any income (rent) derived from it, is shared, not Separate, and cannot be used as Separate Property, nor be used to maintain, improve or pay any taxes, etc. for the house. Receiving an inheritance in cash, or in a mutual fund, is simple to handle in comparison!