I Don't Think I Will Outlive Her

I Don't Think I Will Outlive Her
 

As a response to an e-mail, I was attempting to say:

No, I don't think I will outlive her. She is healthier than I am.

What I wrote was:

No, no creo que le sobreviva a ella. Ella está más sana que yo.

After sending the e-mail, I began to question if what I wrote was even understandable.

How close did I get? Should I have used an infinitive instead of a subjunctive construction in the first sentence since there is no change in pronoun or is the subjunctive okay?

I believe using the infinitive, instead of the secondary clause, would be preferred, since there's no change in subject.
No, no creo sobrevivir a ella. Es más sana que yo.

Notice the use of ser in the second sentence.

There are other ways to say the same thing.

Thank you, Rusty.