you claim that your transaction is a burden on the network, but give no numbers to support your claim.

why is it a burden? cumulative bandwidth of propagating a few hundred bytes around the world? a few milliseconds of computing power per node?

the bitcoin network was designed to verify and propagate transactions. that is what it is for.

what you are proposing is a clearing house. https://en.wikipedia.org/wiki/Clearing_house_(finance)