Title says it all. Is there a bitcoin exchange that pays most of fees for you? For example, I want to send Bitcoin to my Electrum wallet but others want to withdraw too. So like my transaction is bundled with many other people's transactions.
The main purpose of exchanges is to generate profits from users. There are alternatives to choose from, but the cost of transportation is limited. Electrum for example. Shipping fees can also vary. We are all aware of the increased fees recently. We had to wait for the transfer, so I don't think what you want is very possible. You just have to wait for the right time. Unless you're in a hurry.