However, so far for the past several weeks, I have made several offers direct to either the trustee or beneficiary of the properties .. ( more than 10 ) .. and have not gotten any results.

Matching a specific house to a specific loss mitigation rep is almost impossible.

Any specific words I should use to google and get good results?

Hence any deal that matches the formula should be worth your time.John Corey

i mean one technique might be to offer 3 options to a seller and instruct them that they are each independent options that cannot be mixed and matched.

In your situation, I would think using $20k down on a rental that will positive cash flow FOR SURE would be a safer bet and accomplish a similar result.

If the lender was in 1st and there are junior liens a modification can result in the lender's 1st position turned into the most junior lien.Forbearance agreements might be of interest.John Corey

A lot of buyers can not get their situation to match what the lender will be comfortable with (cash down payment, lower LTV rather than 100%, stellar credit).There are speed-bumps so know how to navigate them.John Corey

They have me do the bidding with their drawings, I present them with the bid results and they select the subs.

There are many strategies.Most can result in a large check sooner or later so most courses can pay for themselves if the investor applies what they have learned.Little is new.