I'll say that your method will have limited effectiveness, if you consider the current situation. Being able to broadcast your transaction entails that the total mempool will be less than 90~100vMB or so depending on overheads. When you're able to broadcast it, it'll probably be when there are only 1 sat/vbyte transactions left in the mempool and all of the others were mined by a miner. This definitely won't happen overnight and even if miners were to mine successive blocks, which is unlikely to be sufficient, there is little chance of your 1 sat/vbyte transaction (currently there is 90vMB+ of transactions paying 2sat/vbyte or more) being confirmed even if it gets relayed. After it gets relayed, if the minmempoolfee increases at the slightest, your 1sat/vbyte transaction would be evicted again and the whole process repeats.
Just to put things into perspective and help you manage your optimism.