That stinks. My hydros have spin-on filters that double as the drain plug, each one bigger than the 6607 series. The issue is that they’re STUPID expensive for what you get- no bypass nor ADBV, and the NAPA equivalent (one of the WL series filters) was $28 for the pair!
The vent/fill hole is on top of the hydro, under the frame, and there is a small ~4oz reservoir on each side. You remove the filter & drain the hydro, replace the filter, pull the vent plug & fill through the reservoir until you get fluid to the top of the housing. Then you replace the vent plug & top off the reservoir… then disengage the hydro bypass lever to the mower doesn’t move, and cycle the steering arms about 10 times each direction similar to a power steering flush & fill.
I had to buy 5 quarts of hydro fluid since each one takes about 80 ounces IIRC. Makes for a nearly $100 zero turn mower service when you include 3 quarts of Amsoil Small Engine and a Fram XG filter!