I don't think you will be able to see a wallet related to what you are interested , in most cases all the transaction fee in almost all wallets are almost the same and as a result , I wouldn't particularly be interested to have a crypto wallet of this nature but the most important thing I'll be looking forward to see in any crypto wallet I'm interested to use for my crypto related activities is security because that is the most important thing.
The best way you can completely avoid dealing and having higher transaction fee is to avoid sending out cryptocurrency with coins that requires you to pay a higher transaction fee such as bitcoins or maybe Ethereum ,But you should be looking forward to be sending and transacting with cryptocurrency of a lower transaction fee such as litcoins or any other related one to avoid extr charges