Re: BF with a stomach virus
If you can, have your DH bring him/her to you so you can nurse side-lying, then take the baby back to play or whatever with him so you can rest.
I had food poisoning when my DD was 4 months old and I stayed in bed (when I wasn't throwing up) and DH just brought her to me when she seemed to want to nurse.
Your supply will probably be fine long-term--it should bounce back when you're feeling better and baby is nursing normally. The engorgement is uncomfortable, for sure. Can you hand express to ease the pressure?
Catherine, tandem nursing mama to Preschooler Girl 9/08 and Toddler Boy 3/11
Breastfeeding for 4 years and counting!