I agree that it's very unlikely that a couple people will be able to move a 24' TT that way. It's also not advisable to do so because it would put a lot of stress on the jack. It would be OK with a popup though.
My first choice would be a powered tow dolly. I don't know if a manual one would work. I'd definitely want something with a brake for that size of trailer. Just make sure it has the right weight capacity rating.
2011 Rockwood Signature Ultra Lite 8293SS, 12K Equal-i-zer
2016 Ford F-250 XLT SuperCrew, 6.2L, 4x4, 6'9" bed, 3.73
2010 Rockwood Roo 23SS (2012 - 2014)
2009 Ford F-150 XLT SuperCrew, 5.4L, 4x4, 5'6" bed (2012 - 2016)