I've made two low-ball offers which were (rightfully) rejected, but I just can't seem to find something in my niche.

I thought that the short selling lienholder would outright reject a double closing or assignment because they don't want anyone to make money if they are losing money.

They may reject your submission, stating that you have too many rooms and bathrooms.

Maybe think about the fact, that this might be bigger than your monthly fee and that you'd hope that other landlords would have done something to warn you about tenant like this.Well, although it would be easier for a future landlord if there was some criminal report or monetary judgment attached to the tenant via the court system, it is still possible to avoid that tenant in the future without any such report having been filed.I would get the tenant applicant's address history - it will be in their credit report - and I will research the public records for the owner of record at the dates that this tenant resided at that address, and then I would contact that owner.Yes, I do that with each tenant application that reaches the point where I do that type of checking; some applications do get rejected prior to advancing that far (credit score too low for example).

I'm thinking that he will reject the offer and I will be able to move on.

He left the entire thing blank, and signed his name on the bottom.What I want to do is reject it, ask that he checks the boxes that don't allow a blank answer ("has knowledge" or "has no knowledge"), and write "N/A" or "no knowledge" on any line items that are only a write-in answer.  

If she decides to drop you for them, stick to your price by rejecting the offer with no counter.  

They rejected it after three days, then the next day accepted it.That was a surprise.

Even if you are the high bidder they may reject it and start over.

If you are the only bidder or even if you are not, often if your bid is too low they may counter or reject.