Anne, I know exactly how you feel! My husband loves the heat - in fact the hotter the better for him - but I just wilt.
I don't know about quilt shops in Jamaica but I do travel a bit with work and I have taken to bringing a small applique project with me to work on the plane or during idle moments. I am heading to Bucharest on saturday for a week and I have just cut out all my pieces for the project I will be taking with me. This is how small it packs up -
I put it all in a ziplock bag in my carry-on bag so that I can take it out and show it if I have to. I haven't had to show it yet! I have travelled with this little nail scissors in my hand luggage the last few times without problems. I carry a spare pair of scissors in my checked-in luggage, just in case. The next project after this one is going to be a hexagon quilt so I will bring enough cut-outs to make several flowers or diamonds while I travel and then I can put it together when I am back home.
So, how about quilting by the pool, in the shade, with a large Rum Punch by your side! That's how I would do it.