The Pleiades is a reasonably good object to do such a comparison with a variety of stars ranging from mag 2.8 to below naked eye. The visual magnitude limit near full moon has less to do with how dark your skies are and more to do with how polluted your skies are. In the cities, this is smog and smoke, in the country, dust, pollen, and smoke from crop chaff burn off or bushfire. If you want to do a comparison, doing it when the Moon is nearby isn't the best approach because at best, you are looking at pollution which varies with time but also people seeing the post and doing their estimates at different times, even just a few hours apart, will have the Moon positioned differently relative to the Pleiades or any other target. If you want to do something like this, make it full moon, make it at Moon transit and make the star magnitude test area a long distance from the Moon so that motion of the Moon against the stellar background has minimal effect.
Probably better to collate data from any Moonless night. Transparency will still play a part but less than when a near full Moon is up.
I have never estimated magnitude limit during a near full Moon so can't offer you any estimates.
The attached chart is on of my images with magnitudes extracted from Starry Night Pro mostly based on Tycho and Hipparchus catalogue magnitudes.
"34 South: The Hilltops Observatory"
Central West NSW
Bortle 1-2 skies, 148 E, 34 S
Amateur astronomer since 1978
Astronomical interests : astrophotography, visual observing, nightscape photography, solar eclipse chasing
asteroidal occultations, nightscape astrophotography workshops
web site : http://joe-cali.com/
Scopes: ATM 18" Dob, Vixen VC200L, ATM 6"f7, ED80, M70, Orion 102 Maksutov, ST80.
Mounts: Takahashi EM-200, iOptron iEQ45, Push dobsonian with Nexus DSC, three homemade EQ's.
Eyepieces: TV 31, 17, 12, 7 Naglers; D21, D14 Denkmeier’s; Pentax XW10, XW5, Unitron 40mm Kellner, Meade Or 25,12
Cameras : Pentax K1, K5, K01, K10D / VIDEO CAMS : TacosBD, Lihmsec.