If you are staying in hotels, you can use the coffee perculator in the hotel room.
I don't use a filter. I just use the peculator to heat the water, and then poor the water into a french press.
After a few minutes of steeping. I throw in some ice cubes so I don't have to wait too long.
If you are staying with relatives.... it might be a little tricky.
For me, a few of my sisters are also doing Nutritional Balancing, so it's not weird for me to use their bathroom for a little while. I usually bring my own brown towel.