You just did a big water change to lower your ammonia levels, correct? Lets wait a few more days (assuming there are no ph crashes) for your bb to be back in swing from the amm overdose. If we dont see any detectable drop in the nitrites, then its time for a big wc to drop them down to a readable level (2ppm or less) & lower the amm dose down to 2ppm for a couple of days. Lets see how things go over the next few days.
In the meantime, do you have access to any cycled media (friend, lfs, etc)? This will speed things up! You also can consider purchasing an 'active' filter from Angelsplus. Many members have had success cycling their tanks with these filters.
Sponge Filters for aquariums