Bedside cosleeper/bassinet/or pack n play 20 inches high?

Can anyone help me out? My bed is short at about 20 inches from the floor to the top of the mattress and I would love to have my baby right next to me while I sleep but not in bed with me. Just while he's a newborn. Does anyone have a recommendation? I can't afford anything over 150$ but I would still take it into consideration if there aren't any other options. Maybe if you can measure your bassinet/cosleeper /pack n play and let me know the height that would be awesome

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