FWIW... I blew out my Patella tendon the week before Boston (this was 20-some years ago). Scarfed down something like 4 times the recommended dose of OTC painkillers right before the start. Got as far as leering at those lovely Wellesley girls before it stiffened up completely (my knee, don't be so rude) and I couldn't run any further. Spent a good couple of months in PT before I could run again.
Would I do that again? Would I recommend anybody else to do it?
Probably "No" on both counts, but at the end of the day it's going to be your call. As it's your first the dynamics are a little different. But think about it - you could run another Marathon as your first. You're probably not going to lose that much of your training gains as a first-timer... but where's Tico when you need him to weigh in on the subject of running marathons in less than 4 hours?
Seriously, if you've gone through the training your body has developed to a level it likely won't lose quickly, so getting ready for something in a month or so wouldn't be that difficult.
Just don't be too quick to dive on a "desperation" race - I did that with a Sri Chinmoy Marathon in February in Flushing Meadow Park some years back. 26 x 1-mile loops (plus a bit). The entire roadway was covered in ice for about a twenty foot stretch, so once every mile you went skating. Plus it was too cold to be running that far. Plus there's only so much of that singing from the Sri Chinmoy Ladies' Choir or whatever they were. "Run, run, run, run, run, run...Run, run, run, run, run, run..." I was winning when I dropped out at half way. I think it was the ice, but it may have been the singing. Funny, ice keeps coming back to haunt me...
Pick something you'd like to run, make it a goal for your recovery and enjoy it. But that's just what I'd do now.