Suggesting a prof low-balls my grade

Background: I have an incomplete from an old course. I have submitted now all the old homeworks to the professor, with a couple weeks to grade them before the I lapses to an F. She wrote that she is going to a conference soon and doesn't have time now to grade it. I'm totally ok with getting a low grade in this course (just not an F; maybe a C+ or B-) even though I think my work is worth more than that.

Is it inappropriate to write the professor and suggest that she just estimates a low grade for me and not actually grade the work? I'm fine with that (and it's definitely easier for her, whether or not she'll admit it). The alternative is she slaves over grading it in a day or two (which she understandably doesn't seem excited about) or we petition for an extension from the department (or I fail). Would this be an offensive suggestion? A good suggestion? Not worth trying? Worth trying, even if she does say no? I don't want to offend anyone though (that's not going to b.com/tag/help">help my cause at all).

I'm not trying to be unethical to get out of work (a short look through the b.com/tag/homework">homework should show that it's not just chicken-scratch and I really worked on it); this is just to try and simplify life for both of us. The idea is roughly that she can give me a grade which definitely does not overestimate my ability, so she doesn't have to b.com/tag/feel">feel unethical. The fact that it may underestimate my ability is my loss and I'm willing to accept it.

(I understand that I should have been in better contact with the professor about when to submit the old b.com/tag/homework">homeworks.)

In any half-way reasonable system (though I make no guarantees that you are dealing with one or not), this situation should be easily handled with a quick form or email to the administration from the professor. They need only confirm the student has turned in all work required to satisfy the incomplete, but they need additional time to render a final grade. It shouldn't be a big stumper for anyone, so I suspect there may be a communication issue - ie, the professor means they'll handle it but just was letting you know it'll be a few weeks to get your grade, but I wouldn't totally assume that.

I would suggest you simply inform the professor of your concern of the incomplete being automatically applied on X date, and ask if there is some form or something you need to do to ensure you aren't automatically failed even though you turned in the work.

That ought to be the end of it.

I would not suggest or imply in any way that the professor should BS you a low grade in exchange for being rid of you. Honestly, only a fabulously terrible instructor would go "oh good, so you just need a C - you can have one if you agree not to ask any questions, because I don't want to read this crap." Really, that's just an embarrassing attitude to have towards your job and students, though again I can't say there aren't people out in the world with this attitude.

Regardless, I have never, ever found it useful to assume or imply people are effectively an embarrassment to their field and so unethical as to give short shrift to their student by giving them a lower grade than they deserve in exchange for a quick grade. If they are not so cut-rate as to be enticed, they will either be sad that you think the system would actually work that way, think it's a silly request and ignore it, or be insulted that you think they would actually behave in such a way.

I don't know your instructor or institution, but I would personally suggest you just send a short, clarifying email ensuring they are considering the deadline from the institution and asking if you need to do anything to get an extension. Save the email to show to administrators later if there is an issue, and maybe talk to your advisor to make sure the proposed solution sounds right to them as well.