Self-line or not?

I'm making a fairly simple dress (princess, full shirt, short sleeve) out of a mid-weight poly sateen with a small amount of elastane.

I was going to line it with non-stretch cotton sateen (light weight) to help with breathability. The pattern is just a woven, not for stretch.

But now I'm considering self-lining so that I can take advantage of the stretch to get a tight fit.

But still it be too thick? Or too warm? Should I just go for the standard inner to help with keeping it cool and keeping the structure?