Another option is to call around for a couple wooden shipping crates.
Many factories have things delivered in them, and they throw them out..
if you call around and explain the situation, maybe someone would deliver them! then all you have to do is connect them, cut out a chicken door and add a door for you to go in and out (&clean) and that can be just a piece of plywood on hinges!
For heat- a clamp light with a red lamp-bulb inside is enough-- just make sure you secure it so it can't fall... an eye-hook in the wall works well.
I agree that you may want to give away about 1/3-1/2 your birds.. but do you get a lot of eggs?? "Dad" may miss them eggs- you may want to remind him of that... then say "I think maybe I'll trade someone some of the chickens for a coop"... just see what he says.
I am sorry your dad is like that-- unfortunately, many men think girls always do that type of thing "wrong" just because we work differently than they do. Next time say... I'm sorry, I am doing the best I can on my own, but I'm sure I'd do a lot better if you'd show me the right way...
don't be "snitty" -just sweet & matter of fact... sometimes it works....
Do you have an older male cousin, or a friend with a big brother that would come help you? Sometimes seeing another "male" working on something THEY should be doing will motivate them to help...
but only sometimes.
Good Luck hun!