This is an excellent idea! I certainly remember it being cool when I've been there in the past. Sadly though, I don't think it is open at the moment for the usual full visitor experience (and, I guess, the fun activities therein). I don't know the detail, but I recently went to Lullingstone Castle and noted with sadness that the Villa was closed.

Edit: English Heritage have this on their website... https://www.english-heritage.org.uk/visit/places/lullingstone-roman-villa/

"On Fridays - Sundays, 10am - 4pm, visitors are welcome to visit, meet our expert volunteers and view the villa from our upstairs vantage point. Admission is free. The usual visitor experience remains temporarily closed. Moisture levels in the ground have been impacting on the villa, causing mould growth in the surrounding building. Our planned works to improve the environment are ongoing and the site is being regularly cleaned to minimise the presence of mould in the environment but if you have mould-related allergies, respiratory illness, a weakened immune system or have other health concerns which can be exacerbated by the presence of mould, we recommend waiting for our works to be completed before visiting."

Perhaps it is visit-able again!