It can be done, keeping in mind that you should plan one hour to your hotel and one hour back to the airport. Typically, be at the airport 3 hours in advance of any departure to the USA. If you have special consideration from a rewards program which gives you expedited access to check in and passport control, you could shorten the prepositioning time to 2 hours.
I cannot comment on Virtuoso or associated hotel/restaurants but I would recommend your taking a taxi from the airport 50€/55€ to your hotel and back to the airport. There is a 7€ dispatch fee when taxis are ordered in advance (for the return). Effectively, youŽll have very little time in Paris.