I would apply the aloe vera first and let it dry in, and then i would apply the 1-T formula. The 1-T formula itself is designed to hydrate the skin (Aloe Vera, Jojoba Oil, and Emu Oil) as well.
Shaving prior to application can irritate the skin, but i'm not sure that's an issue here. Make sure to allow for ample drying time (10 minutes minimum) before getting fully clothed as well.
The itching itself can have numerous etiologies such as, overall dry skin (by far the most common), follicle irritation from shaving, and even the carrier itself bringing potential allergens through the skin (usually detergents off of clothes.) This is why we recommend letting the 1-T dry in fully prior to getting dressed.