If the surgery is the primary treatment and you say you "will refuse surgery almost definitely", then how do you expect a good outcome? While the thought of surgery can be rather scary, it may be the best option.
HPV16 caused cancer is easier to eliminate but the notion that it is more "treatable" rather depends on your definition of that word. A successful outcome with five year success rate is vastly better in HPV16 cancer as opposed to standard squamous cell carcinoma but I believe you will find the treatments are much the same.
It will not be an easy road nor will life's plans go on as usual. This is going to take over your life for a bit. Your choice in the matter comes down to live or die. My dear wife who battles the damage of MS every day is fond of saying "Life is what happens when you are making other plans." At this point life has directed you to deal with this issue, regardless of any other plans you may have made. But I think I can speak for most of us who have put this in our past, this will be a battle you can win and a life changing event that can be considered in an odd sort of way, for the better. Good luck.