C# (Visual C# Interactive Compiler), 78 bytes

x=>{for(int i=35,c;(x[i]=(char)((c=x[i--])<48?c:c==57?65:c==70?48:c+1))<49;);} 

Try it online!

Anonymous function that takes a char[] as input and outputs by modifying an argument.

Input is scanned from right to left and replaced using the following rules.

• The - character is ignored and processing continues
• The F character is converted to 0 and processing continues
• The 9 character is converted to A and processing stops
• The characters A-E and 0-8 are incremented by 1 and processing stops