Transparencies stretch when printing with laser printers...
No they don't stretch. You probably use inject transparencies in a laser printer. There are transparencies for every type of printer.
For good results you can use a home laser printer.
For the best results go to a copy shop and ask to print from pdf to transparency in a color photocopying machine, but printed only in black and white. These are the best machines. Remember to print at home in paper and take that sheet with you to the copy shop just to check if the photocopying machine didn’t change the size of the drawing. For that simply put the transparency on top of the paper sheet.
Remember that the photocopying machines print on top of the paper, so you need to mirror the top layer and the bottom layer is not mirrored. In this way you will have the toner of both layers on the side of the PCB.
I don’t understand why you guys talk about drill pilot holes, tape or staples. Nothing of that is needed. I make double-sided PCBs with traces down to 12 mils and small vias in 10 minutes including the preparation, exposure, development and etching. I've never had a misaligned PCB.