Palindromic Condition and ESA

Hello, I have recently been awarded the living component of PIP and a blue badge for psoriatic arthritis. I work in a school, term time only, and having been on sick leave for the majority of this year but have just started a phased return to work at the beginning of this term. I'll be back to my usual full-time hours in 2 weeks. I am struggling on return. My condition is palindromic, meaning different joints and ligaments flare at different times with little or no warning, and the tasks I can do vary greatly with regard to what is flaring. I have started immunosuppressants in the last month and am physically dependent on steroids to control flares. My blood markers are showing improvement but not to the degree hoped, so the dosage of my medication is being increased. I have had it suggested to apply for ESA to "buy more time" to find the correct dosage of medication to control my flare ups, but I'm not finding the application straightforward to understand or what I may be permitted to do because of my term-time only work and particularly the palindromic nature of my condition. Please could someone clarify if ESA would be suitable for me to apply for? In an ideal world, I would like to be able to work 15 hours per week ( I can do this over the spread of the week from home because of the nature of my job) for the 39 weeks I'm contracted for each year. I earn just over £10ph - should be able to do this? Is the assessment like PIP where the condition is scored based on how often you experience difficulties? Or "at your worst" (eg at my worst, I am bed bound because I cannot physically move my legs, or I cannot pick anything up because I cannot move my fingers or wrist, but this isn't everyday, it depends on the attack) Thanks in advance for any advice.