As for what next? Good luck. Most Manned Mars missions until the early 1990's were little more than an engineers Wet Dream. With what happened when you got there being an distant secondary concern. That will do more than enough to shut off Men on Mars until someone comes along to show how it can be done well. And for a much reduced budget.
To be fair, the engineers were generally seeking to demonstrate that Mars missions were practical, knowing full well that in the period between the mission being accepted and actually launching there would be plenty of time to develop surface systems and surface plans (it also helps how many of them were opposition-class missions which only spent ~30 days on Mars...much easier to develop for a month than for two years). Look at von Braun's IPP and related plans, for instance. "Go" in '69/70, Mars mission launch in 1982/1986. That gives 12-16 years for the scientists, mission planners, and engineers to come up with surface hardware and surface plans, which seems entirely adequate to me. The risk would be that they forget to do
that, either, although I can't really think they would be that stupid (they didn't forget about it on Apollo, for instance).
The real issue is the poor understanding of the hazards they had at that point, particularly radiation. Their plans didn't provide enough shielding or protection from most of the hazards now known to exist in space, and most of them were opposition-class plans with Venus swingbys, further magnifying the problem by increasing crew exposure to solar proton radiation and galactic cosmic rays relative to remaining outside the Earth's orbit and spending a lot of time on Mars.
On the subject of the OP, and speaking from my personal opinion, without invoking alien space bats (more or less literally), it's very difficult to see how you can get Mars landings much before von Braun's 1950s estimate of the 2050s!
EDIT: Also, not to wade too deeply in to the nuclear-versus-chemical argument, but the advantages of nuclear rockets (doubling the ISP, namely) are essentially negated by their much poorer thrust-to-weight ratios in most possible applications.
Here's the math relating the specific example of using NTRs as EDS for a Mars missions, from the actual nuclear and aerospace engineer Kirk Sorenson, if you don't trust my math. TLDR version: A chemical stage with an initial T/W ratio of greater than 0.6 (the S-IVB/Apollo stack had an initial T/W ratio of about this, for comparison) beats the nuclear thermal stage for TMI performance
from LEO (so there isn't even Oberth Effect trickiness involved).