Insurance/Job Change but upcoming Surgery

Dr already started the pre-authorization for a hysterectomy but likely still at least a month out if not longer My husband was just approached about a new job (not sure if he'll take it but this is a big factor to consider) I worry if I get the surgery in March, even if he stays a bit longer so we have coverage all of April for follow ups, what might I run into? I know billing can take forever but I would assume as long as I was covered on that day it would be ok but I read that there can be back and forth with code changes to get correct coverage. Follow ups at 6/12 weeks might be tricky but I'm not sure if those would be a problem. I read if he works at least one day of a month, he would have coverage that entire month - thinking this for follow ups as I wouldn't risk this for a full surgery. It sounded like it may be the same BC/BS insurance company but of course we will get screwed on the deductible and out of pocket having to start over. If he decides to take the job and changes ASAP, I'll have to start the pre-authorization again with the new insurance company and there may be some waiting period so the surgery could be pushed 3-6 months If anyone has experience with insurance changes around the time of any surgery, I'm open to hearing your experiences. Unfortunately it's not like I can easily call to check these things without raising red flags.