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You are sending the transaction to coinbase, which makes you not able to use CPFP as you implied. But let me ask you these two questions to know if you can still avoid using paid accelerator.
Do you use a wallet that support replace-by-fee? Like electrum wallet. If so, try to confirm if the transaction is replaceable, if replaceable, you can easily pump the fee?
If you have change address UTXO, you can still make use of CPFP. All you will need to do is to spend bitcoin from the change address and send it to another address on your wallet (or spend part of the UTXO in another transaction), but using a high fee. The mempool recently dropped, 84 sat/vbyte will get a single (1 input and 2 outtputs) transaction confirmed now, so multiply it by 2 and minus it by you last feerate will be the good feerate you can use for now, i.e paying for two transactions.
If you can not use CPFP, then just wait is the best advice.
Edit:
Fee was 0.0006. Cannot use free
0.0006 btc?
The feerate to that will be more than 10sat/byte which is the minimum feerate used Inna transaction to be able to use ViaBTC free accelerator, you will be able to use ViaBTC free acceleratator. Just keep on trying, it will later work, only 100 transactions per hour are accepted, the reason many transactions are not included.
