Green tea is great for cm. We tried for 9 months for our last child and the things I did different the month we got pg was green tea and evening primrose oil. I had more cm than ever before!
I can't really help about when you might have ovulated but I do know that fertile cm is clear so if yours is cloudy at times it could be partly from DTD too. It's hard to tell sometimes!
It does help if you can stay put for 10 minutes or so afterwards but if you can't you can't! I'm sure some spermies would still find their way regardless.