Hi,
Im in Australia,so i can relate to the heat/humidity.

I clean my scalp(to remove tape residue) with pure or desolvit after i remove the piece,i then wash my scalp with soapy handwash at least three times,to get it really clean and to remove the pure or desolvit.After drying and before attachment i wipe the scalp with 100% alcohol.

You should find blue liner tape to be the strongest hold and stick to anything,i use walker no shine and get a good 5-7 day hold before i remove.I found blue liner very good but breaks down too quick and gets gummy

Make sure you are in a cool place and not sweating when you attach.
Also if the tape is not sticking to the lace,you can wipe the lace with a little alcohol to the areas you apply the tape,this will help clean the lace should there be any residue left on there.

Regards Topcat