Then from there I want to filter it by 1 step further by sorting by the lowest % from its All-Time-Low price.
With Coinmarketcap, click on Customize, you can choose From ATH, From ATL, %YTD.
I know it does not help you completely but partially it is helpful.
Coinmarketcap does not have filter for date of TGE as I know bvut you can use that filter to narrow down your list. Then check it more with Trading view or directly on coinmarketcap with a page for each cryptocurrency, choose the time frame of its chart, to All, and see how long has it been lasting till 2024.