There is no int hex object. There is only an alternative syntax to create integers:
>>> 0x41
65
You could have used 0o101 too, to get the same value. Or use 0b1000001 to specify it in binary; they are all the exact same numeric value to Python; they are all just different forms to specify an integer value in your code.
Simply keep ascii as an integer and sum your hex notation values with that:
>>> ascii = 360
>>> ascii += 0x41
>>> ascii
425
hex() produces a string that can be interpreted by a Python program in the same manner, and is usually used when debugging code or quick presentation output (but you should use format(number, 'x') if you want to produce end-user output without the 0x prefix). It is not needed to work with integers.