Sorry, I misunderstood. Yes, that’s a different thing. Usually there should be an option in RTL to set the fee rate before you broadcast the transaction.
You can also try spending the unconfirmed UTXO output and do a “Child Pays For Parent” transaction to boost the fee rate of one which has already been broadcasted and get it confirmed faster.
I very rarely close channels, but there are definitely situations when it has to happen. In the future though, there are some good lightning to on chain swap services (Lightning Terminal is one I believe) which allow you to keep inbound liquidity but still move Bitcoin on-chain.