I have a hefty number of questions, some very popular and others growing. Do I ever need to fear a question ban on this particular site?
There are two things to keep apart:
There are automatic questions bans that are based on the quality, or rather the reception, of the questions. If all, or at least most, of your questions are well-received you will not run into this. Here, well-received mostly means not negatively received. It's not necessary to have a great score. Not having a negative score and not getting closed and deleted suffices.
There are rate limits for most every action on the site. Even if you asked the best questions there were you cannot ask hundred of them in a day. The limit is is six a day and fifty over thirty days. Users with few point also cannot ask questions in rapid successions.
For more details see The Complete Rate-Limiting Guide