I'm curious why you think my siblings will
ultimately prevail in a partition action
It's not an opinion, it's a fact.
A partition action is like a divorce.
Any time the parties cannot agree, the judge makes the decision.
Ultimately, the simplest decision for the judge is to order the property sold and take it out of the hands of the recalcitrant owners.
That's how it works.
Think about it. What other decision could the judge make?
By the time the property is sold the parties have already paid a ton of money to their lawyers (just like the parties to a divorce do).
Then the property is sold, usually for a lot less than it should be because the only buyers that come to the auction are investors with cash who smell a distressed property being sold at a bargain because the person appointed by the court to do the sale doesn't care how much it sells for only that it sells quickly, along with all the others that the court has appointed him to sell.
Are there any legal loopholes or protections
that could save me the long slog in court
If you don't put up a fight (long slog in court) the property just gets sold sooner. If you are adamant about not selling you have to adopt a scorched earth policy that makes it as costly for them as possible in the hope that they choke on the expense before you do and they back off.