So you're on Fiji, shipwrecked, (near) comatose, and have access to fresh mango juice. You need a Mango Lassi. (Right after you have Kryten adjust the VR Simulator.)
These eggs probably won't hatch into Facehuggers while you sleep. Probably.
Starfleet Regulations include one simple solution for dealing with the aftermath of a Tribble infestation