Cheapest Way To Withdraw From Binance?

Okay so i just withdrew my balance on binance via btc and using the btc network. But i wanted people opinion on this.

Yea i heard hitbtc has very high withdraw fees... but i never used that exchange ever. That is ridiculous with those fees.

Well my thought was this. When i converted the altcoin to btc. And the tiny amount of bnb to btc. I thought about converting my btc... roughly 2k worth of btc... i thought instead of paying the btc fee... convert it to usdt/usdc and withdraw via binance smart chain. Then send it to my nano ledger s and pay less than a dollar.

But when i want to send that usdt/usdc via binance chain to say one of those sushiswap or peer to peer places, well thats going to cost me another dollar. But what about when converting that to btc then? Because well you have obviously have to pay a fee to trade usdt/usdc binance smart chain to btc... so in those places... wouldnt the fee to trade be much higher? So let say i now have 2k - 2 dollar sending fee since well it would cost one dollar each time to receive from binance... and me sending the usdt/usdc to an exchange. So its 2 dollar total fee now. But when i convert that 1998 worth of usdt/usdc that is binance smart chain to btc... well isn't this going to cost me probably at least 1 percent?

So by then... me converting it from usdt/usdc binance smart chain to binance is going to cost me another 20 dollars. So now total fees i paid is now 22 dollars. Then you have to add whatever fee that sushiswap or peer to peer place charges to send the btc back to my nano ledger and the price is going to be around 25 dollars or even more?

Is my math right on this? Such as me trying to pay a lesser fee to withdraw on binance such as withdr