I am going to be in Singapore for a few days and I am super intersted in going to Johor Bahru for a border stamp. I've done a lot crazier things for stamps in the past!

I will be in town from a Friday to a Sunday. Would any of those days be easier and is there a better time of day? Also transport wise I would be willing to pay about 75USD for a cab or the like to make it simple. Is that a good option or would a cab cost way more? I would just want to go across the border, see a thing or 2 of interest if it can be done quickly and come back.