Ooops, I didn't answer your question.
I don't think you will have any problem with the channel at low tide.
If you are planning an early morning departure at low tide I would exit the lake, go through the bridge and then motor to where the crossover leads are and check the bar.
An exit over the bar at low tide is really no problem as long as the conditions are right.
There is normally some broken water at the north of the bar. If it has been a quiet night and the north east wind waves from the previous day have settled then the only swell you should encounter is the constant south east swell.
Moon Island and Reids Mistake offer good protection from the south east swell until you get well clear of the bar so unless it is really blowing from the south or there has been an overnight southerly you should have no problems.
In the past I have left and entered the lake in most conditions. A strong north easter on a low tide was about the only time I would not leave or enter but then again I had the benefit of many years of local knowledge.
The pic is of my first boat, an Endeavour 26 sailing over the Swansea Bar in not so good conditions. This was about 1984.
Enjoy your sail.
Cheers, Rick.