Was just about to suggest VAR challenges by the captain/manager that send the on-pitch referee to look at the incident again (this could be done on a tablet they carry round to save time). That way they can see a replay of the incident without the bias of someone saying "I think you should look at that again". This essentially makes the referee also the VAR, so they are still in control (in theory). 2/3 challenges each per match, successful ones retained. Max review time 1 minute or stick with original decision.
Probably some reasons why this is a crap idea, but it's a suggestion for how to use video replays yet drastically changing the current, failing system.