Anyone have to deal with a frozen sump pump discharge pipe before?

The crazy weather we've been having has kicked our sump pump on. Last week it was 50F and sunny, and a lot of snow melted off. Now, it's 20F and we're looking at a fresh 12" of snow from this weekend's storm. The meltwater from last week has our sump pump going, but unfortunately it can't discharge out the pipe to the culvert that runs past our property. The pipe seems to be clogged, and I'm thinking it has frozen up. In the short term, I can re-route the piping to our septic tank, but I hate doing that because I'm paranoid that I'll overflow the tank. I have coworkers tell me not to worry about it because the water will just discharge out the septic tank's drain field, but I still worry that the tank can't discharge fast enough.

I called a few places, and the cost to steam the pipe and clear it is anywhere from $500-$900!!!! Damn! I tried snaking a garden hose from the basement up into the pipe and running hot water into it, but I can only get the hose in a few feet before I can't get it around a bend in the PVC pipe.

I'm at a loss as to what else to do. One plumbing company I called told me not to worry about it in the short term and just wait for the ground to thaw in a month or so, but the anxiety of a flooding basement is driving me insane!

I don't know why, because I thought it would be shooting out of the hose under higher pressure than it was.

Perhaps I can find a larger-diameter hose closer to the 1.5" PVC on the sump system at the store and try that.

nearby may not require much pressure, whereas pumping into a long hose that rises some distance from the basement may involve pressure losses from both elevation and friction along the hose

I think you'd still have the same elevation pressure loss with a larger diameter hose, though the fiction losses would be reduced

You might need a more powerful pump

Makes all the diffference (it's about 6x bigger in area)