I wouldn't bother with the whole "getting engaged" thing before you have your own house etc.
but then again, it depends on personal preferences. Mine (and my girlfriends) is:
House > Wedding > Kids
We're doing okay so far, we have the house, and are now getting pestered by every family member for the wedding.
I really don't see the point of prioritising a wedding over getting a house. The wedding is pretty much full deposit on a house (depending on where you live ofc).
In terms of getting a ring, are there any rings in the family that you can use? For me, her family are insisting that I use her great-nans ring. Which i'm happy about as I don't have to pay out for it, it means a lot to her, and it saves me the ring shopping. The only thing i'll need to do is get it re-set
To save for our house deposit, we both moved back in with our parents. Thankfully, we were only a few streets away and never spent a night without each other, just used to take it in turns at staying over each others houses. Set of clothes etc at each, sorted. Obviously, not ideal, but it saved us a lot of money. (£500+ each per month)