some mining pools will mine your transaction for you if you pay them. viabtc has this service. it takes tx id as input thought. you could try broadcasting via the tool on their site. it may accept zero fee transactions. if it does it'll return a tx id which you can use.
another one is btc.com: https://pushtx.btc.com/
another one is btc.com: https://pushtx.btc.com/
AFAIK most free transaction accelerator can't/don't accept transaction with low fees or transaction which isn't exist on their pool
While it's possible to "bypass" default minrelayfees with paid transaction accelerator, it's ridiculous idea as you'd pay more than 192 satoshi (1 sat/byte for common transaction) and risking de-anonymization.
Viabtc itself has a min fee/byte range, which is pretty high actually as I recall.
But antpool's accelerator (still free) has in the past accepted 0 fee or even below 1 sat/byte fees. In fact, as long as it's in mempool somewhere, antpool will add it to queue.
Only problem is you've to submit a TX id so if nodes won't accept your transaction anymore, and you can't broadcast from Electrum anymore... then you're still stuck.
) which is supporting nested transactions to help with more general use cases and to guarantee a deterministic relationship between the parent txn and its child. 