Is there like a website or an application that I can use for me to send my BTCs by using a relatively lower fee? I do not mind if the transaction would take days; what matters is that I receive it on my local wallet.
Since you can't import your recovery phrase from bitpay to electrum ( i tried but address are different). So what you can do is to wait until tx fees go down by checking mempool.space then make a transaction to your non-custodial wallet.
Even if price of BTCs reached an ATH of ~$68,000, tx fees were relatively lower during that time.
BTC tx fee is not determined by the price of BTC.
With the condition of current bitcoin network with the ordinals, when BTC price reach that peak again, huge possibility is BTC fees will soar in the sky as well.