For upper lip work, Icy Hot with lidocaine and menthol is worth a try. My clients verbalize that it is very helpful.
Walmart's price is good:https://www.walmart.com/ip/Icy-Hot-Lidocaine-Cream-2.7-oz/51258774
Dee Fahey RN CT LLC
Licensed by the State Medical Board of Ohio for Cosmetic Therapy/Electrolysis and the State Nursing Board of Ohio