Your hosta could be refusing to bloom for several reasons.
1. Age. Some hosta can take up to 5 years to bloom.
2. Location. Hosta will bloom less when planted in deep shade.
3. Water. Hosta bloom less during and immediately after drought.
4. Variety. H. plantiginea usually won't bloom for 2-3 years after being moved. But, it's worth the wait.
5. Nutrients. If your soil has too much nitrogen, the plants will put most of their energy into foliage.
Don't worry about cutting them down. The first frost will take care of that for you!