iserith
Magic Wordsmith
Indy has at least slightly above average Str and probably proficiency in Athletics. With a dumped Str, you're going to have trouble doing some of the things that he does like outrunning enemies, climbing and/or hanging on to things, jumping across pits, and throwing people out of windows.
As always, its going to be a trade off between mechanical optimisation (Maxing Dex presumably) and sticking with concept (Indy's more balanced mix of physical ability scores.)
I don't see why the DM would call for a Strength check for outrunning enemies. If he uses Chase rules, that's a factor of Constitution which is above average, excepting for any Complications that are rolled that call for a Strength check or save. For climbing, I'll have Second Story Work next level (and anyway, climbing doesn't normally call for Strength checks). Jumping will be an issue but again Second Story Work helps with this, boosting me from 8 feet to 11 feet. If I'm ever forced to make a Strength check, I'll spend Inspiration on it if it's important.
I did take proficiency in Athletics though to help offset the poor Strength.