Okay...now on to answer the original question;
No. Playing Arkansas won't do a THING to tarnish the image of your program.
The fact that your school colors are purple and silver (I think that's correct) is a solid, visual testimony that your school really HAD no image to begin with. It's kind of like when someone says how you can't miss what you never had to begin with. The purple panther logo you guys wear is pretty cool, though, in a Arena League sort of way.
How about that mascot.
"Hey do we have enough dough to buy a whole mascot suit? Nah, just buy the headpiece. It's not like anyone cares."
are we getting into mascots now?
arkansas has 4 plus the pig in the trailer.
Big Red...who is similar to Willie in the sense that's 'just a headpiece'.
Sue E. the 'female hog' who is apparently famous for costume changes and dancing ability
Pork Chop is the 'kid' mascot.
And least we forget Boss Hog...a nine-foot inflatable mascot voted most annoying in the SEC by ESPNU in 2010.
and to answer your question, yeah, i researched this on wikipedia.