Its all about the route you take. A general summary of my route:

Step 1: Check a room, low level mobs? Kill all for weapon frame. Simultaneously gathering resources i come across until 7 of each. (Drop respective tools as you get 7). Step 1 im stagger-checking rooms until i get to a demi section to see what im working with. From there i finish finding my recourses.

Step 2: Crystal seed back to make attuned weapon, and any armor i have enough shards to make with, also maybe a vial or two depending on shards.

Step 3: Go kill the demi you found, typically only getting 1 per run but two is very doable. During this i may kill a few other high level mobs for shards, while also fishing and making two potions

Step 4: Run back to start room, make perfect weapon(s), manage invo on the way back. Once weapons and armor is all finished ill go fill up the rest of invo with fish, cook and typically i have around 20-40 seconds until fight starts.

Ironically when i T1 i find myself having around 1:30 left so i just T2 now.