"SO, would I be advised to use Liquid Nails or the 3M 8090?"

I think the 3M 8090 is what is made for this kind of stuff.... I used liquid nails out of a gallon can day before yesterday for putting melanine to plywood.... which is what it is made for.... but was worried the next day when it would still move around some... it does look to have dried..... but....

Maybe it is time you take the next step up in your DIY training... tackling something which needs some planning to be applied in the proper place... as compared to using a less suitable glue ....

Overspray ..... this is not a problem because most of these cans have an adjustable nozzle... which can be adjusted to different widths....