@Ludoole Posters often say they are leaving the thread but do continue to read.
I hope you're one of those.
There is some helpful advice here, albeit not what you feel comfortable reading.
Going back to the start, after 5 years it's natural you want to know if this 'is it' (weekends only) or if you might live together as you wish to.
Unless you raise the issue, you won't know. But your option then is to carry on as you are for years and years.
Because you don't know if your man prefers it this way or if his daughter (at home) is irrelevant.
Looking at what you have said, your relationship appears one-sided.
-You are doing the travelling (how far?)
-You want more (but are afraid of asking in case he rejects your plans to be together.)
-His daughter acts in a PA way, he avoids confrontation and gives in to her.
-He doesn't put any pressure on her to be sensible with her money and plan for her independence.
Now, maybe he likes her at home (we don't know where her mother is or if she has a mother.)
Maybe he's 100% happy to have her with him and have you do all the work in the relationship.
You seem a little undemanding and willing to accept uncertainty rather than say what you want.
How many more years are you going to hang on with this until it's clear he may never change?
It's not about getting his daughter out. It's about valuing your own self-worth and saying what you'd like. You seem to be putting your own wishes right at the bottom of the list.