E-3000 (formerly known as E-2000) is right in your back yard.
I think it is safe to say that you could have quality work done, and get to First Clearance in one appointment.
It is no wonder your hair is growing in more coarse as time goes by, chemically burning your skin every other day is a good way to increase the thickness and possibly number of hairs in the treated area. Please get started on your permanent hair removal and stop with the chemicals ASAP. Just clip or shave until 2 to 3 days prior to your appointment.
I would imagine that E-3000 could clear your face in 1 to 2 hours, but if it took longer, go for it as your reaching First Clearance in one appointment would end your desire to use depilatories, and make it safe for you to use E-3000 as your only hair removal source. If you went in once every two weeks in the beginning, you should be able to keep totally cleared each time, and the amount of time per visit will steadily decrease, and then the frequency of visits will decreast to once every 3 weeks, and then once every 4 - 6 weeks, and so on.