As above - lymphatic drainage massage? Maybe see if somebody experienced in pregnancy massage can help - it will be a really light massage.
I'd also make sure you get your blood pressure checked regularly. I was v, puffy with my first son's pregnancy but that was third tri in summer. With our third baby this year, I puffed up towards the end and ended up getting pre-eclampsia. I didn't get the headaches or feel any different, but gee I had massive ankles,feet, hands, puffy face etc and the blood pressure at 40 weeks was too high.
Hope you get some respite soon.