I've been toying with the idea of trying to make a stock sea level Eve SSTO for a while now. Though impossible with conventional engines, with propellers it might be possible. Such a craft would need to have:
-At least 4km/s of delta v (a mass fraction of at least 3.2, assuming an aerospike was used)
-A propeller that could get the craft to an altitude of at least 25km on Eve (about 8km on Kerbin), preferably going 100-200m/s at maximum height
This seems on the very edge of possibility, but i've seen people do some incredible things with stock propellers, so i'm holding out hope that it can be done.
I'm working on it too (no pictures yet). The best i've been able to do while getting a mass fraction close to the target is 80m/s in level flight, while an optimal plane would probably have an airspeed close to 250.
Good luck and Godspeed.