Game mode idea: Hodgepodge

Ok, just to start off, I am sure that somewhere there is a similar idea floating around somewhere in the past 6 years of game mode ideas. So if you had this idea first, good for you, but I didn't copy this idea from anywhere.

The basic premise of the game mode is to mix up all the champion abilities. Much like Ultimate Bravery, you don't get to pick what abilities you get, so sometimes you will get a super op kit, and other times you just have to suffer through the game.

Game takes place on Summoners Rift

In champ select, each team gets to ban up to 3 ABILITIES (passive, q, w, e, r)

Next, Blind pick allows everyone to pick a champion, however, this only decides what your character model will be (voice, animations, etc.) and weather you are melee or ranged.

You don't get to see what abilities you will get until the game starts.

When the game loads, you will have your base stats and stat growths, a passive, and a full set of abilities randomly pulled from the 130+ champions available. So your champ could look something like this:

Jinx model (ranged) Kog'Maw base stats and stat growth Karthas passive Blitz Q Vayne W Katarina E Shen R

or

Rumble model (melee) Olaf base stats and stat growth Malzahar passive Fiora Q Janna W Sona E Varus R

Obviously the replay value of this game mode would be nearly infinite, and those who love a challenge would find plenty in this mode. However, there are some serious problems with this game mode idea.

Resources and ability costs:

There are a ton of resources out there! mana, energy, rage, overheat, bloodwell, flow, health, morde shield, etc. and a lot of them have their own unique twists, like shyv, gnar, tryn rage, and the different energy levels on energy champs. Some abilities/champs have no resource at all. So either there would need to be some crazy resource conversion shenanigans, and/or multiple resources per champion.

Dependent ability kits:

The other huge problem is that many champion kits are made to work only with their abilities. Such as Syndra, Illaoi, and Orianna. other champs just have a few abilities such as Azir qwe, J4 qe, Aurelion Sol Passive and e, Kalista passive and ult, Heimerdinger, Karma, Nid, and jayce ults, itc. You get the idea, it's a mess.

So yeah, lots of problems, i know. But I really think this could be a great game mode. There are just sooooo many possibilities at this point, even if they can only use 8/10 abilities available.

Any other idea on how to fix the problems? other problems i missed? Pros and cons?