Everyone is waiving contigencies and inspections and anything else they can offer already with their cash offer. IDK if you even have any cards left you could play in your hand with a weaker offer that won't also be played by the person with the stronger offer if they really want the house. It's almost like you have to luck out that no one is driving harder than you on the property.
There are other ways to help craft an offer that could be stronger, including offering better other terms (usually not just the offering price).