*Wouldn't it be best to get the trigger points resolved before I start to strengthen muscle?*
YES!!! If PT doesn't allow for that find a better one..
Trigger point information {TrPs} for short
https://www.neurotalk.org/members/100-albums422.html
There are good and not so good - PTs , DCs, MDs the hard part is finding the really good ones.. If not so good , move on to try another.. In time by first visit you will be able to tell. if a good one or not...