Here are my suggested rules for this situation.
Rule 0: Get a lawyer.
Rule 1: Do not do anything sneaky, vindictive, or in bad faith.
Rule 2: Do not do anything that might be perceived as sneaky, vindictive, or in bad faith.
Rule 3: Be reasonable.
Rule 4: Do not acquiesce to a demand that you believe is unfair.
Ok, so Rule 0 is really the most important one, because if you get a decent one he'll keep you on track to the others. A lawyer can be expensive, but a long, drawn out, painful divorce can be also. Better to pay the costs up front and make sure that you have a qualified legal advocate making sure you are protected. That means both in terms of getting a fair deal, but also in making sure that things progress efficiently. Think of it like tearing a band-aid off---it's going to hurt no matter what you do, so you might as well do it quickly.
For the other stuff, basically, remember that judges are (in general) not morons, and they are not amused by people trying to abuse their system. It's in your interest that he (or she, but I'll stick to the masculine pronouns here) understands that you are being fair and reasonable. If you do anything that makes him think you're trying to game the system or otherwise manipulate things, that's bad for you. This means, first, that you don't actually do anything that is trying to manipulate him. However, you also need to avoid situations where it looks like you might be.
For example, the suggestions above to arrange a sham sale of your property to hide it are extraordinarily bad advice. That won't work, is a completely transparent ruse, and will probably cost you more than just the equipment in terms of goodwill with the judge. However, suppose you had been thinking about selling the rig (or, for the sake of example, a car) prior to the demand. Even though you aren't doing it to "hide" the assets, now is probably not the time to make the sale, just because it might look like that's what you're doing. At the least, you will want to have documentation that you began the process of selling before the asset became an issue, but if you can hold off until after the divorce is settled that will be better.
Of course, you do have the right to a fair shake, and while you should be reasonable, don't let your ex walk over you. A lawyer will help with this in many ways. Not least in terms of providing a more neutral perspective, but presumably he/she will better know what sorts of demands are reasonable. As was said above, you don't want to just hand things over because that's not likely to stop the demands for more. Get your lawyer in, set up the process so that you get the whole settlement out on the table, then negotiate (or accept the deal) if needed. But don't do that until it's a final agreement, otherwise the piecemeal BS will continue.