Depression Supporters Support Group
This community is dedicated to spouses, children, relatives, co-workers and others who are actively supporting someone suffering from depression or other serious mental illness. Depression can bring about intense sadness, melancholia or despair that has advanced to the point of being disruptive, which can have a grave impact on the ability of others trying to help.
If he loses his place again you could always move his visitation night to your home and you can have the evening out with friends or something. It would be a way of showing support for the father-daughter time and would give him the sense that you're on his side.
You could also send some of your daughters toys to his house (I have no idea how old your daughter is)... A game would also work or playing cards. - it would give them something to do and something for your daughter to look forward to.
He may look dis-interested but it may just be that he is adding pressure to himself, he may feel worthless... at not being able to hold a job, not being able to buy things for his daughter or feel like he just isn't "smart" enough to help with homework.
Also if he isn't working maybe you guys can do a thing where he picks her up and/or drops her off at/ from school every day. It might help the "driving by to check up on you guys" and would give them a short amount of time together daily (with the one custody night) -Bonus: it takes something off your schedule for the day- so you can read, do laundry, make supper, go shopping etc.
Most important: Ask you daughter how she feels, why does she not like visits - >what can make them better for her?