Neck pressure is a problem for me also,I found massage therapy very helpful, it loosens the soft tissue around the neck muscles. Look for someone who has experience with massage therapy, manual lypmh drainage and cancer. Very important!
Perhaps your physiotherapy people could reccomend someone for you.
I also hope this is helpful to you. I wish you well.

Adele,
mucoepidermoid carcinoma of the submandibular gland, 05/06, left neck dissection, gland and tumor removed, intermediate grade, margins negative, 9 lymph nodes negative, no rad, no chemo,
11/07 surgical biopsy of lymph node left neck, no cancer!