DD is recovering from a cold and I've got the cold. She is understandably extremely miserable (lots of crying despite calpol/nurofen) and every time I sneeze she starts crying 
DD has been a very very fussy baby since birth and a very poor sleeper, up every hour at night since the past six months (have had the odd good night here and there).
DH has not done any nights and has not been supportive. He can come home earlier from work on the odd occasion but doesn't. I asked him for 2.5 hours per week for myself to catch up on sleep/rest, but has only delivered that a few times. Basically everyone and everything else takes priority than me. He knows ill carry on looking after DD.
I'm utterly exhausted, fed up and ill and tired. DH is off next week and I'm tempted to text him and let him know I'm leaving for a few days and he has DD to himself. She's currently ebf but desperately needs to get onto the bottle (which I've again asked his help for in the past but hasn't delivered much). She needs to go on the bottle due to allergies and as she is a very poor eater we can't do sleep training as we suspect she is actually hungry as night.
DD adores him and he is a good father. She is generally much happier with him.
So AIBU to just leave her with him and go? I know timing is a bit rubbish as she is recovering from a cold but she is over the worst of it (and plus isnt it time DH sees how it is to look after an ill baby all day on your own?).
So what do you think?