present participle - Something had me do or Something had me doing something else?

I’m edit­ing a short story and I’ve stum­bled upon a prob­lem. I
fre­quently use struc­tures like:

• Agony had my in­sides con­vuls­ing.


• De­feat had me slump­ing into a chair.


• Fear had my body shak­ing.

My ques­tion is, are these sen­tences cor­rect as writ­ten, or should they
be writ­ten like this:

• Agony had my in­sides con­vulse.


• De­feat had me slump into a chair.


• Fear had my body shake.