"I am guessing 'more smoothly' is probably not correct. Maybe just smoother?" 
"I think either is OK, but I'll defer to Don on this one. At least there were no apostrophes that didn't belong."
"More smoothly" is correct. You're describing how things will "go." "Go" is a verb. Verbs get modified by adverbs, most of which end in -ly. "Smoother" is an adjective. Adjectives modify nouns, which is not the case here. Your recovery will be smoother, but it will go more smoothly!
Don
"I think either is OK, but I'll defer to Don on this one. At least there were no apostrophes that didn't belong."
"More smoothly" is correct. You're describing how things will "go." "Go" is a verb. Verbs get modified by adverbs, most of which end in -ly. "Smoother" is an adjective. Adjectives modify nouns, which is not the case here. Your recovery will be smoother, but it will go more smoothly!
Don