AMGs who attend quality programs and perform adequately should not have huge trouble finding a good job. Unless of course you are really limiting yourself to a very narrow geographic area, in which case timing will play a role. You can also generally afford to be somewhat selective and not settle for a bad job. I halted my job search in mid september after only visiting three places, being in contact with 5 others (who were all not yet prepared to formalize an interview, but were planning to), and receiving another few unsolicitated offers from places I didn't want to consider, but would probably still have been good jobs.**
**"Good job" = either academic spot with relative autonomy in a quality institution or a private job with partnership track in under 5 years with partner pay >$300k/year. Another "good job" would be a semi-academic large hospital where you are an employee but are compensated fairly well, and yet have the opportunity to teach and publish. I do not consider a lot of reference lab jobs to be that great for new graduates, but then again I didn't visit any so maybe there are some good ones. Reference labs often pay experienced people quite well and give them more autonomy.