There are very few light single IFR airways departures out of Edinburgh. I don't have an IR only an IMC but any IFR departures I've done have been VFR to West Linton then climbing IFR to Talla.
I would have been flying out of Perth so usual procedure for me is to call Scottish Control directly and join controlled airspace on track GRICE, from Edinburgh not sure what they would do with you...not that it really matters if you were going to fly IFR outside of controlled airspace until POL.
Following bookworm's plan I just would have stayed below class A airspace, getting whatever zone transits necessary and then done my own thing until POL.