Purchasing a Cape Dory 26 and sailing her solo from Forked River to Cape May. Just daylight sailing and will be staying on the inside until I have too go outside.
Anything to look out for, Limestone Channel perhaps?
I don't know your reference to "Limestone Channel" but you can easily make it inside from Forked River to Atlantic City. The channel is very well marked and well traveled all the way. There are only 2 bridges (Manahawkin 56' and Brigantine) and your boat will easily clear under both. After passing under Manahawkin Bridge, follow the main channel that takes you by all of the developed Long Beach Island towns. You might be tempted to follow a more westerly channel to avoid LBI, but I think it is too sketchy for a sailboat and I don't know anybody who has gone that way. Once you pass Little Egg Inlet, you are in for a beautiful stretch of waterway in a seemingly pristine area. You can read all of the Active Captain warnings of shallow areas within the channel but I think the trouble areas have been dredged since the reviews were made. I passed that way in 2019 with 4' draft and never saw depths less than 8 or 9 feet. Most of it very comfortable depths. Follow the channels religiously, though, because if you wander just a bit, you would be asking for a grounding.
Between Atlantic City and Cape May is a different story, I think. You would have a couple of bascule bridges to deal with between AC and Ocean City but I think it is feasible. There are fixed bridges between Ocean City and Cape May that you may not be able to get under. I don't know anything about the channel depths, but the path would be slow and tortuous. That said, I think it is, by far, the most common practice to sail outside at least from Atlantic City to Cape May.
You can go out through Barnegat Inlet and make Atlantic City (Brigantine Inlet) or Great Egg Harbor Inlet (Ocean City) in a day. Take another day to get from either one to Cape May. The time from Forked River to Atlantic City is about the same either via the ocean or the intercoastal. Just inside Brigantine Inlet is the Brigantine anchorage. The entrance looks impossibly narrow and you will see people wading on the east side of it in knee deep water. Be assured that the west side is plenty deep and the anchorage is good. Just keep the marker sticks on your stbd side to keep off the ground. Many much larger boats go in there all the time. If you come from the ocean, you will be making a right turn into the anchorage, just before going under the Brigantine Bridge.
If you watch "The Escape Artists" on YouTube, you can follow their adventure from Barnegat Bay to Cape May. They stayed on the inside to Little Egg Inlet (AKA Tuckerton Inlet) and went outside from there to Brigantine. They made a short jump outside from Brigantine to Ocean City, which would be unnecessary for you, I think. They were travelling in late autumn and had limited daylight hours. They then ran into disaster by leaving Ocean City late in the day and attempting Cape May in the dark. They ended up grounded in the ocean outside Cape May and had to get towed off a sand bar to get into the anchorage. Don't do these inlets in the dark!
HTH, Scott