Hi Nat and welcome
I completely agree with cotton. I don't yet have an allotment but it makes sense to this for a number of reasons (probably pleanty more than these..)
a) The area you are left with (the one that's cleared and ideally a small area you will clear next) is
managable which it sounds that you are feeling yours isn't. This is a big fear of mine when I get my lottie (when hell freezes over at this rate... sorry, the lottie guy said Chrimbo. My mistake
) When it's managable you'll keep motivated and as you clear and plant an area, you can move onto the next
b)While the cover is down it will start killing off the weeds under it. Okay, you'll still have the seeds that will germinate but then it should be easier as your 'already done' areas are being weeded and the more weeding done, slowly the less they will appear.
c) Okay, this is just me probably, but if the weeds are 'hidden' then you probably will feel your lottie is tidier and will feel more relaxed and enjoy it more
Anyway, this is my waffling thoughts. Others will probably have other ideas far better than mine as I don't really understand lotties yet, not owning one and all
I dion't know what the waiting list is like on yours but if you gave it up and wished you hadn't, could you easily get it back? You may wish you'd stuck it out, that's all
Let us know how you get on won't you?