What can I use to coat or cover a table that I will build as my computer desk? I will use?

I don't know who told you you couldn't wrap edges with formica, but you can. In fact you're supposed to finish a laminate job with the edges in the same material as the top. They sell pre-made edges already that you just apply with an iron or you can rip and glue your own formica strips to the edges then simply trim the excess with a router or zip saw for a nice smooth edge.