Staggered funerals could be the answer. Two or three minute time slots could allocated for paying respects. As the immediate family have finished, the out-of-town aunties/uncles/cousins could each take it in turn, followed by friends, neighbours, colleagues, etc. Queuing could be reduced by allowing small groups, who are already in direct contact with each other, to visit together and by strict control of the appointment times.

Consoling hugs would be virtual, via social media

DC