OP, could you please properly vocalize what you actually want/need?

If you don’t know how, consider at least to answer the following:

• Do you need it to be amnesiac? The very thing that defines Tails*.
• What’s wrong with Tor? Is your threat model so paranoid that you (somehow) don’t even trust Tor? Or, are you not in favor of its (relatively) low bandwidth? Or, is privacy and/or security not even a thing you seek after to begin with? Or, at least not beyond what your average distro provides already*.
• What do you intend to do with it? Daily drive it? If so, do you need persistence?
• What does “Tails without Tor reliance” provide/offer you beyond a LiveUSB from any other distro? Or, rather, what do you hope it will provide/offer you?

FWIW, I’m afraid we might be dealing with a classic XY problem. Hopefully I’m just mistaken…