Yep we had a summer baby. I am assuming you have air conditioning in the car and at your house?
Are you comfortable in the car and the house?
If so, then that is how you dress your baby.
Our daughter still runs warm (like me) so even with a fan and air conditioning, sometimes, she would be sweating after a nap.
I used light t shirts on her.. If we took her out it was in a light dress or light cotton outfit.
Her bottom, from her diapers seemed warm, so I tried to avoid any onesies until it cooled of in (our fall) meaning late October.
Swaddling would have been impossible unless we had turned the air conditioner way low.
I learned to place her head up against a rolled up towel, to help her feel snuggled in her crib/Bassinet.
My mother and MIL were constantly trying to put a "light" blanket on her, but she would kick it off every time. They kept talking about drafts.. I told them it is over 100 outside, there is no draft.
Keeping her hydrated was very important and making sure to change her diaper as often as needed also helped her, I think.. I also would let her go without a diaper sometimes, if she felt super warm.. I just put her on a pad.