Do you think this would work on my own node instead of doing it to Electrum?
If you are running your own node, you don't need electrum or other tools for broadcasting your transaction at all and you can broadcast your transaction by yourself.
If you enable full RBF, you would be able to broadcast your transaction and I think you should have a good chance of connecting to at least one node that has enabled full RBF and your transaction being propagated to the network.