To me you sound like when the blinds are small, lots of people will be in the pot as usually they are quite passive so if you pick up a draw you usually have the correct odds
to carrying on as people are making weak bets for you to hit your hand. You have now built a nice stack early however because of the structure of the tournament with rapid blinds the blinds start becoming a significant portion of your stack. Here the table will also probably tighten up which means drawing out with the correct odds in unlikely. What i recommend is playing small ball poker which is making a raise to about 2 half to 3 time big blind with marginal and good hands(for deception, dont bet more cos you have pocket Aces cos youll get figured out) to try pick up S/B blind(thats if no one has entered the pot yet). If you do get called i would make a continuation bet about half the pot, however if i meet resistance and haven't hit or hit the flop slightly, then am in a decision whether to play on or not(actually good players have started to call my flop bet just to see what id do on turn, but thats another topic i think). However only try this on the middle stacks cos short stacks might go over the top, big stack might call, but medium stack is too scared to call most of the time! If this method doesnt work and im down to about 8 to 10 big blinds then am all in when i sense weakness from limpers from middle and late position, or go all in when im first in the pot with any semi decent hand.
Hope this helped maybe it sounded better in my head though and if anyone thinks i give this guy wrong advice then please correct me cos that means i need correcting too!