...judging by how quickly it escalates i assume within 4-5 months there wont be any more steem for mining.

Steem does not have a hardcap, from page 26 of the White Paper:

Starting with the network's 16th hard fork in December 2016, Steem began creating new tokens at a yearly inflation rate of 9.5%. The inflation rate decreases at a rate of 0.01% every 250,000 blocks, or about 0.5% per year. The inflation will continue decreasing at this pace until the overall inflation rate reaches 0.95%. This will take about 20.5 years from the time hard fork 16 went into effect.