I’m really picky about my tops. I like them to not be fitted, sleeveless but not “too” racer back (more coverage in back), can’t be too long and must come up higher on the neck/chest. My absolute favorite tank is this one:

Nike Miler Tank https://www.amazon.com/dp/B07FN57R5H/ref=cm_sw_r_cp_api_i_tUwpFbY6EZ6YR

I am a SheFit convert. I don’t love the bump from the zipper but I do love how locked down I feel. I know what you mean about feeling too pushed up. I finally figured out how to get a better fit for me by loosening the top straps and tightening the chest strap. So I’m locked down but not too lifted up. My other favorite is an OLD Athleta sports bra they don’t make anymore. I’m always on the look out for something similar though. Good luck!