As long as the amount of gross rent received, that you report, equals or exceeds the amount shown in box 1 of the 1099-Misc, you can do it either way.
You can use the box 1 amount as gross rental receipts and not show any of the already deducted expenses on Schedule E.
I would do it the opposite way. First report the 1099-Misc amount. You will then be asked if you received rent payments not shown on a 1099. Enter the total of all expenses already deducted by the property manager (PM). Later, when asked for expenses, enter all expenses paid by the PM in the proper expense categories, in addition to the expenses paid by yourself.
Even if you use the first method, be sure keep all detailed documentation/receipts from the PM, in case of an audit
