Any non-surgical procedures for women with severe hooded eyelid syndrome with at least 50% improvement afterwards? (Photo)

From the photos it appears the best result would be from an upper blepharoplasty. Non surgical options would likely not provide much improvement. The good news is that an upper blepharoplasty can often be performed under local anesthesia with very minimal down time. I've included a video that I hope you find helpful.

I have been performing The Ten Minute Eyelift, a minimally invasive technique for reducing upper lid hooded lids for thirty years. Performed using only local anesthesia, each area of excess hooded upper lid skin is reducing in size using light electocautery. The procedure is relatively inexpensive, and there is no scalpel cutting and no stitches, and wound care consists of just petroleum jelly twice daily for about ten days. About fifteen years ago, I performed the procedure on myself and six hours later was on an 11.5 hour international flight,--unaccompanied--so obviously no need for anyone to help you with recovery afterward.
You would do well to consult with an experienced, board certified cosmetic dermatologist and best of luck.

I understand your reluctance to have surgery, however, an upper blepharoplasty, where only skin is removed and done under local anesthesia, would be very easy for you to care for without any additional help. You could apply some cool moist compresses to your upper eyelids, alternating between the right and left and your recovery should be uneventful. I am not aware of any non-invasive, skin shrinking modalities that would reliably correct your issue. Have a consultation with a board-certified plastic surgeon. Best wishes.