It is often stated that a distant observer will observe a freefalling object as experiencing an infinite journey to the event horizon, but that a traveler in the local frame will experience a finite-time journey to a singularity.
Is this however true? During the inward journey to a black hole (non-rotating for simplicity) the traveler will accelerate towards the speed of light, while travelling through an increasing gravitational field. At some point the velocity based local length contraction (special relativity) will be overtaken by gravitational length contraction(general relativity), after which point space will continue expanding as observed locally. This point is when the local uniform length contraction (correlating to a locally observed space expansion) from an external frame point of view has exceeded the speed of light. The traveler will then be experiencing standstill in a singularity-free space undergoing an accelerating expansion. After some (local) time, this space will have many characteristics that are similar to the expanding universe in which it is embedded.
Update: In this view, there is even from an external observer point of view no point or ring singularity, but rather the singularity is an ellipsoid, which is inside the event horizon and can be viewed as a compressed boundary, lying a (perhaps infinitesimally) small distance inside the event horizon. In the local reference frame, the proper distance from the event horizon to the sphere singularity is infinite, and a local traveler will experience the "shell" of space between the event horizon and the compressed boundary as an infinite, singularity-free space, which is expanding uniformly in all directions. The traveler cannot observe the singularity, which indeed does not manifest as a singularity in the local reference frame, but rather appears indirectly as the distant edges of a vast, finite, and expanding universe, which at its boundaries is expanding faster than the speed of light, thereby appearing infinite. In this universe, with progression of time, matter will condense into stars. Some of the stars eventually create black holes, wherein new universes emerge.
See also: A Universe without expansion, C. Wetterich, trefoil.math.ucdavis.edu/1303.6878