I would recommend that you just buy a basic clip-less pedal system. And forget straps and clips altogether. There is really no reason, other than maybe you don't really like to wear biking shoes all the time you go biking (although you could still pedal your bike with no problems with regular shoes in an emergency), why one would not consider clipless pedals as they have been around for so long already that these systems are pretty much totally proven in the field to work pretty well in most situations and we have a myriad of product choices to satisfy our cycling needs.
Anyway, I'm sure you would like the way clipless pedals work with just the quick push down to click action that they have compared to the acrobatics you sometimes have to do with staps and clips, as you have already found out.
If the price of clip-less pedals worry you, note that there are many brands below 100 bucks, such as Look's Keo "Easy" (around 70 bucks). Shimano and PBS's house brand "Forte" also makes nice low priced clip-less pedals. that can get you started the clip-less way for not too much money. End of season sales are also good times to catch even better deals on these pedals and shoes.
Once you go clipless, you will never look back

JMOs
Chombi