Thanks Jeff and Byron for providing the names of the Recycling Companies.
Northwest RV did not have anything that looked like it would work but digging through the Vision RV website I was able to find one 2006 Beaver Patriot with tail lights but I'm thinking that those lights may also have UV problems after 15 years. Vision RV is a couple of hours south of Cincinnati so next time I am traveling that way I will stop and take a look.
I was able to confirm from the Vision RV site that the lights on the 2011 Monaco Dynasty that I posted are the original tail lights for 2006-2011 Monaco Dynasty coaches.
I was also able to confirm that they are the same lens as is found on the 1995-2014 Ford E-150, E-250 and E-350 vans and 2000-2005 Excursions (OEM Part Number: F5UZ-13404A, F5UZ-13405A). Someone had left a comment on Amazon that they had purchased two sets and installed them on a 2008 Monaco Dynasty and they fit the installation holes perfectly (They just had to remove some plastic tabs on the back).
Now all I need to do is confirm that the molded holes in the rear for the tail lights in the 2007 Beaver Patriot Thunder are the same size as a Monaco Dynasty. The picture in Amazon comments makes it look like the height is about 13 engine door latches
high vs 10 engine door latches high for the Beaver. So it does not look like this is going to work without some major body work.