You can do some of the more time-consuming and long-lasting
preparations on Friday, such as cutting your nails or hair removal (if you do so). Otherwise, as you noted, you should do the bulk of your preparations on Motzai Chag so that it is not so far in advance of your tevilah.
In general, if you are unable to take a bath (and bathing at the mikvah is not an option) you may take a long thorough shower, taking particular care to wash in the folds and crevices of your skin.
Please feel free to get back to us with any further questions.
Chag sameach!