I actually started off with around 80cents on carbon poker
and grinded it up to $4 playing these (I lost it sometime later, but that's not the point). When it comes down to bumblebee tournaments, here's the thing I learned from someone, and it actually worked quite well.
At the beginning, only shove with TT+, AJ, AQ, AK. Anything lower, just fold. The reason behind folding pocket pairs TT is because the chance of them getting a higher pair or just having 2 over cards is too high. However, you want to gamble as there are fewer players left. As it gets down to fewer players, start increasing your range and shoving when you're in position. Dont increase it too much, but start shoving with things like K8 or QJ. The key is winning all your 60/40's.