I usually pick up a bit in the later part of the evening, but I know it is more to do with my cortisol levels being skewiff than hypo. Many people with adrenal gland problems will tend to pick up toward evening when they should be going to settle down.
You say you are hypo, but had RAI. RAI is normally done for hyper, not hypo. Or were you saying you are hypo due to no thyroid meds for your RAI treatment?
I'm the total opposite, feel great in the morning then decline from mid-afternoon to the evening.