First, you need to know if Maryland has a part-time work exception because you have stated here you are only available for part-time work.
Availability for work can first be assumed to mean full time work. However, a number of states have either added specific provisions, which under certain conditions allow for benefits when availability is limited to part-time.
Of course the provisions vary and sometimes, a state may of just interpreted, through a precedent, the exception .. if memory serves, Florida would be one such state where I wasn’t able to find a provision, but after googling a number of “unemployment jargon filled phrases” I happened upon a precedent which created one.
I only persisted because the USDOL comparison charts (also on the UI law page) had an I next to Florida in table 5-14 of the non-monetary chartbook.
However since teachers are usually public employees, I wonder if you overcome the part time limitation if a reasonable assurance issue might become an issue preventing benefits as well.