non immigrant O (trailing spouse) which is valid for a year, and we had a couple of months remaining.
I found VFS to be very smooth and helpful, I believe if your visa is not workable for proof of address they would guide you.
As someone else mentioned copied all pages and did another copy of visa page.
As long as you book VFS appointment (not walk in) , if your visa isn’t workable it hasn’t cost you anything and they will have guided you in how to manage.
They took the Thai visa as proof of address when we renewed this month (not sure if that depends on what visa or you just need visa to be valid during the timeline)
We kept old passport whilst renewal was going through which we used to check in hotels but we didn’t fly.