wish sentences... wish+would vs wish+could negative sentences

Hello everyone I have a question about sentences with wish.
We all know that when both subjects are identical in sentences with wish for the future, would changes to could, but something I am doubtful about is whether can we employ couldn't in these sentences.

For instance we say

A: I wish he would stay --> negative form I wish he wouldn't stay
B: I wish I could stay home, there is a football match on TV --> negative form I wish I ? I hate football...

We can't use couldn't right?
How about in other sentences, can we use couldn't in other examples?
thanks so much

Solution 1:

Is this an acceptable sentence to you?

I wish I had an obligation that prevented me from staying home because I hate football.

If yes, then I believe it follows that the shortened form is also acceptable, even if the sentence is rare.

I wish I couldn't stay home because I hate football.

From another perspective, I believe the following two sentences are analytically the same and both valid.

I wish I were required to work on Christmas because my house is overrun by my family.

I wish I couldn't be at my house on Christmas because my house is overrun by my family.