you are  correct.  stamina potions would benefit greatly in a run.

i fail to understand what you're getting at here.  you can do the run as a f2p as it states in the rules.

¤¤¤¤¤¤¤rules
Quests can be done on either F2P or Members world. 
Account must be Ironman or Ultimate Ironman. 
- 
Must record Shield of Arrav section and use of blocking on both accounts for solo eligibility. 
- 
Timer starts after character creation. 
- 
Ends after last F2P quest is completed. 
- 
Complete all F2P quests except Imp Catcher.