I can see both good and bad in these type of marriages.
The marriage institution as a whole is a huge gamble for both spouses but especially for men. Some statistics I've heard thrown around are something like 50% of marriages ending in divorce, 70% of divorces initiated by women, and the majority of the reasons given by these women are "I'm no longer satisfied with him." Not abuse, not even irreconcilable differences. Therefore he gets booted out of his house, loses access to his kids, and has to pay child support until the kids turn 18 and, in some cases, lifelong alimony to the spouse.
That said, no fault divorces do offer protection for the spouses who find themselves in a bad marriage and want out and covenant marriages can be viewed as a potential return to the pre-no fault divorce days where spouses (usually women) find themselves trap in an bad marriage. However, I agree with JeffT that these type of marriages would be annulled by a good lawyer who will undoubtedly find a legal work around that will be set as precedent.
My answer is to simply do away with the whole institution of marriage as a state institution. Let the individual churches perform marriages as each of them sees fit but only allow for private contracts between individuals that are enforceable similar to other types of private contracts. Since these marriage contracts care more about the property than the marriage (whether private or state imposed) such a marriage license is really nothing more than a piece of paper that has nothing to do with life long commitment between the two parties.
To answer your question, I'm not aware of any dubs who signed up for it and I doubt a practical thinking dub would sign up for it. I see this as something that the more conservative fundamentalist evangelical Christians would sign up for, particularly those who are part of the quiverful movement.