EGSR, MAY - would work very well avoiding any tight navigation other than round the north east of Stansted. The routes 20 miles longer.
If you like you could get a LARS past Southend, then London info, Shoreham, Goodwood, Bembridge, not forgetting the solent exclusion zone.
The scenery is pleasant as well - a good view of the docks at Tilbury and the QE2 bridge, Royal TB, the south downs and Selsey Bill.
The route your propose is also fine but with closer attention to navigation required. I think as the route stands you will also infringe the temporary solent exclusion zone.
You may find overhead Farnborough, GWC easier. Expect to work Farnborough and Goodwood.
If you really want a challenge a SVRF via BUR will cut the corner through the Heathrow zone but expect no symphathy if either your read back of the clearance or your navigation is suspect!
Hope that help let us know how you get on.