If anyone kept a patch on for anywhere near 7 days, the first thing I would do is check for a pulse, because there's just no way that a warm, living, moving, sweating body that gets washed at appropriate intervals could reasonably be expected to achieve that.
Firstly what is your dose? Can you get two smaller patches of the brand that suits you, or use half of a larger one?
Even if you can only get estraderm, wearing two smaller dose patches or cutting what you have in half and using two sites might work.
Make sure you are cleaning the skin with rubbing alcohol prior to applying to strip out the oils and improve adhesion, and try applying hypafix over the top.
Someone else on here mentioned using tattoo film over the top worked for them.
Also if you have someone to assist you, the shoulder blade can be a reasonable site.
The advice to place below the waist comes from fear of breast cancer but no actual evidence, and given it is absorbed systemically anyway, it doesn't really make scientific sense.
This might be a short term option even if you aren't comfortable with upper body long term.
I know someone who has been wearing them on her arms for many years as that's the only place that works.