It's same for me, and that last for weeks already. Go yo service section, there are couple guys that can speed up your transaction for free, they have daily limits so you can't speed up all your transactions without paying, but for one everyday you will not have a problem I think.
ViaBTC was good site in the beginning, but they are slow for some time and I don't try to speed up transactions there, try with my advice that can solve your problem for now.
Same experience on here even how I tried to wait for the very first second exactly on where the counter restarts.I do still failed up to push up transactions just like on what OP saying here those alerts regarding beyond limit is still repeating which I didn't tend to go further and rather just giving a shot on those free services or pushing up transactions on those guys on services sections. I don't know if it does work but did give a try and luckily someone did able to push my tx.