If you’re going to be at 10 km by the end of April, you’ll be ready to do the Silverstone 10 km by early May. They haven’t announced this year’s exact date yet, but it will likely be in May since Silverstone’s not resurfacing this year.
(I may not get there, as I only got clearance to do gentle swimming two weeks ago, and I need to see if I can get back to full fitness in time before booking).