Jay is planning to provide a profile. If you want to purchase maps, the best Catskill maps are the
5 map set published by the New York / New Jersey Trail Conference. They have 100' contour lines, and include trail descriptions with mileages on the back of the maps.
I did find an
online profile of a Blackhead Range loop hike which includes about 8 miles of the Escarpment Trail. Jay's hike will go over the section between mile 4 and 12 on this profile, but in reverse direction. Also the first mile of the Escarpment Trail is very similar to the mile 12 through 13 of the profile, but with an additional 240' elevation, as you will be starting at about 1760' elevation instead of 2000' elevation shown at mile 13 of the profile. The toughest climb in the Escarpment hike is the 1100' elevation climb (in 1.0 mile) on the north side of Blackhead.
After reaching the Blackhead summit (and leaving the profile) there are several shorter climbs, but none very steep. There are, however, steep descents down the south side of Blackhead, Arizona, and North Point. These descents have eroded and loose rock sections.
The trail follows the top of the ridge so it is usually rather dry. The little false summit, Arizona (the name means arid zone), is fairly descriptive of the normally dry state of the Escarpment. There are only two stream crossings, one at the start, one at the end, both have hiker bridges. How much mud will depend on how much rain falls the week prior to the hike. Generally there is not much mud, but there may scattered standing water areas, especially over the first 7 miles from Route 23 through Acra Point. Recent heavy rains may yield some water running in a few eroded trail sections. Unless there has been a lot of recent rains you probably could do OK in trail runners. I usually opt for light sticky-sole boots in the Catskills, but just my preference.
Black flies may be out, but generally not too bad. The pesky non-biting May flies may be bothersome at the two stream crossings, and near North Lake, but they won't be on the ridges.