See this is what I don't understand. They need 7 more votes to enter a continuence, not a budget. If they wanted to re-open the government they could have actually wrote a budget, and reconciled that budget, using only 51 votes for all the portions closed down.. then argued about the portions they can't get passed (cutting health care). There is nothing that the Democrats can do to block an actual budget reconciliation being done.
Stop kicking the can down the road with a "continuence" and draw up a budget. This whole thing seems to me like they can't get Republicans to agree on a budget, to get 51 votes