I agree with this strategy. Don't vote No, use Obama's trick and just vote Present. The Dems can't say Republicans voted against Obama's agenda - they just didn't vote for it. Let the Dems know that it's all on them. The Dems will be begging the Republicans to vote yea or nay, but they need to stay strong and just say, "Nope! We want no part of it."
You are right. This would be the only way to do it.