Father issues

He's using his money to be in your life and control it. Decline his money and you and your fiance pay. You can extend him an invitation, and closer to the date decide if he should walk you down the aisle. That is an old-fashioned tradition though, and you can choose whomever that supports you (no matter gender) to walk you or you can go alone.

Maybe you can tell him that you need his love and understanding rather than forcing change on you. It is the same with a spouse. We shouldn't really expect them to change and should not plot a way to change them. We marry the person we marry.

I agree with everyone else that you should just accept that you and your future spouse will be paying for your wedding yourselves. That will allow you to make all of your planning decisions without outside interference. Also decline to talk about any more wedding details with your dad. Practice changing the subject if he brings it up (and certainly don't bring it up yourself!).

As far as if you should invite him or not, the decision is completely up to you, of course. But since you have plenty of time before you have to make that final decision, I would sit on it awhile. Maybe he'll be less problematic once you aren't allowing him to control wedding decisions.

And for your own sake (don't prioritize his feelings!), think really hard about if you will regret not inviting him. If you have a doubt that it will bother you afterwards, invite him as a guest (without any special, unearned "father of the bride" role). If you think you won't care either way, then you are probably better off without him there.

Like most everyone said, you'll only be free of him when you've declined his money. Have the wedding that you want and can afford. The question of whether or not to invite him would depend for me on how he behaves from now on.