you need to use a sailmakers nylon thread ( or any heavy duty nylon thread i suppose.). you will prolly need a pretty hardcore needle and a palm (but could use pliers instead). a few rows of a basic handstich should be more than adequate for what you r doing i should think. have u tried folding the strap back throught the fitting at the top to increase the friction or even tieing a knot in the strap?? i may have some sailmakers thread at home but wouldnt be able to find it till the weekend. let me know if u want some.
easiest thing to do. Tie a halfhitch (or two) with the loose end, pull it tight till it come up the the head bit. Works for me fine. No sailmakers, no worried and NO MONEY