Well, I will go through your options for you anyway:
1) You can file for a Re-Entry Permit with form I-131 before you leave the U.S. which would allow you to be outside of the U.S. for up to 2 years without abandoning your Residency status. Then you can come back to the U.S. before the Re-Entry Permit expires, or you can come in and out as you like, but when it gets close to expiring, you can file a new Re-Entry Permit and get 2 more years and you can do the same thing and then after that you can continue to do that but you would be able to only do them for a year at a time. This has the added benefit of you keeping your green card and being able to use that often and be more assured of an entry into the U.S.
2) You can leave the U.S. and when you apply for a B-2 tourist visa, you also file an I-407 with the U.S. Embassy or Consulate
so what you would be doing is abandoning your Residency at that time in order to be able to get an approval of the B-2 and not have a gap where you have no ability to enter the U.S.
Do not worry about irritating anyone. It is perfectly understandable to abandon it and they will respect it and they will not get offended that you do not want it anymore. So do not worry about that.
If you do option #2, then like I said, you do the B-2 and the I-407 at the same time. Here are two links:
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