Advice on my Training Routine

Here are my training routine I am going to try next week:
Monday: arms
Tuesday: lower body
Wednesday: arms
Thursday: rest
Friday: Chest and Shoulder
Saturday: Back
Sunday: rest
(P.S. I want my arms to grow bigger, that’s why I am going to train them more often)

Problem is from Monday to Friday, I will only be able to train in the evening ( probably around 6 pm - 7 pm ) and on Saturday, the gym I am working out at is open until 1 pm which means I will have to work out in the morning (probably latest by 12 pm).

I understand that the day before (Friday) I would train chest and shoulder which are less related to back I would train on Saturday. However, is it wise to do so since I would only have couple of hours (less than a day) to recover. (i.e. over training and stuff). Thanks for the advices.