PA 28 is a good aeroplane for the trip. I've been backwards and forwards in my Archer more times than I can count! I'd stay to the West of the airway and East of the danger areas at 5000ft or so. Assuming you are navigating with a decent GPS (and don't even think of going if you aren't) that's quite easy to do.
I fly from Gloucester and it's due South from there. However if I can't get across D026 as sometimes happens during the week, my alternate route is BIA and then down the West edge of the airway. If all it's all too messy I'll go IFR and join the airway, but I'm guessing that option isn't available to the OP.