Depends on lacto source for innoc temp..but, you really shouldnt have a problem with the process in a kettle or cooler. Most sources bought in grocery store will behave down to room temp from 100F.
Milk the funk wiki is worth reading regarding kettle sour process.
Dont over think it.
Mash, Boil 10 mins, cool to around 100F, pre-acidify PH to about 4.2 (helps prevent unwanted bugs), pitch lacto strain, let temp do what it wants, sour until desired PH/taste, boil 10 mins, add hops, adjuncts, chill, ferment with wyeast 1007 or something tolerant.
If not boiling after process, then keep IBU low otherwise lacto will not be happy. If you do boil, then the hop amount does not matter post sour.
Purge top of souring vessel and cover if you want. I dont worry about it.
Make tincture or dump frozen fruit as normal post ferment until taste is what you want.
Read the MTF site if sour and artistically infected beers are what you like, for more info.
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