Itch is designed for "early access" among other things. If you sell here people would expect to buy it for the price you would sell the finished game, but get it early while in development. Maybe even with a discount.
Patreon is straightforward support. Similar to a long lasting kickstarter, but the benefit is to get extras along the way. The easiest extra is to get the working development snapshot a month earlier.
Some developers try to sell their unfinished game version for version with the lame excuse that it would cost that much on their subscription service. One can even argue, that it is an alternative for people that cannot or will not use services like Patreon.
Please do not delete your game and upload a new version as a new game. You will disrupt all collections your game was put on.