I know zero about Roman Catholic administration (other than my in-laws were mad that their daughter married a generic Christian in an Episcopal Church), but two ideas come to mind:
1. Local churches can petition to get under the authority of a Bishop who is not a communist. To use the example of the Anglican Church in the USA, dissenting Episcopals got under the authority of God-fearing African Anglican Bishops, and told their local bishops to stuff it.
2. Hit them with their money. I assume the RCC using a 10% tithe, where 5% goes to the RCC and 5% can go to other charities. Well, make sure you do this, at least, instead of 10% to the RCC. Then (if permitted), direct your 5% that goes to your church to a specific fund in your church or, better yet, to a struggling parish under a Bishop that is not a communist.
ROTFL!! That's the best laugh I've had all day!
Catholics know very little about tithing. Many years ago, someone in the National Catholic Register described most Catholics as having deep pockets, but short arms. Most Catholics nowadays are nowhere NEAR as generous as their immigrant forbears, who gave generously of their hard earned money to build the beautiful old churches that are now crumbling in the larger, older urban areas of the US. As their kids grew up and started making money, they left the cities for suburbia, and never looked back. But they still try to claim that they aren't wealthy, so they shouldn't be expected to contribute to their Parishes.
Our parish did a study many years ago, and found out that in our parish of approximately 3000 families, most of whom, while not rich, are certainly pretty affluent, only about 1800 used the contribution envelopes on a regular basis, and the average amount in each envelope, each week, was about $4. A lot of folks make the excuse that they don't use envelopes, but they put cash in the collection basket, but they put a lot less than they think they do, on an annual basis.