Traveling from the East into London

Haylescom

Epping has some free street parking but it's restricted between 10-11am. It's also not on the district line. I don't think you'll find what you want for that price.

colcheslad

There are some places around Upney station that I've used when coming into London during the week when I lived in Essex such as:

https://goo.gl/maps/3kGneGqTVrH2

No restrictions when I used it (2 years ago) and looks like it's still free.

10 min walk max.