I know how frustrating a crying baby can be ..no matter how old they are! I use to give DD play time in between each feed and sleep. It was only very short and she wasnt very interested in any of the things i put in front of her but i think even her looking at things made her eyes very tired. Tummy time is pretty tiring too...have you tried this? I use to do it on our bed.. My DD refused the dummy so i wrapped her and then rocked her until her eyes began to drop (not till she was fast asleep) then i put her in her bassinet and this was usually enough ans she would go off to sleep.
Good Luck!!