I know ur post is YEARS old. But I read ur comment, and I just happen to finish reading the 2004 Viper's Manual in bed last night, right after reading ur post. And i just HAD to come back here and reply...
So the MANUAL itself suggests 2 things:
1- Buy 4 pieces of wood, each piece must be the size each tire. Wrap each wood pieces with a carpet (bottom and top). (U can glue it on, or better, use a staple gun maybe. This way u can replace the carpet when the cushioning effect wears off...)
Place EACH piece of wood with carpet cushioning under each tire. This will protect both tires and rims. (All from the manual by dodge, nothing im making up...).
2- Gen 3 2004 Has a Battery Saver Mode. (Thus ur gen 4 must hv it as well)... Open ur manual to Battery saver mode and read along.
In short: In my gen 3. I would put the key in ignition. Go from Off to Acc, 4 times, back and forth, ending at the OFF position. Then should push a button. The horn will beep and then the lights will flash. This means BATTERY SAVER MODE IS ON. Alarm will be off. Thus you can now even Disconnect the battery i believe. Only way to unlock the car is through the key hole under the mirror. Also, if you push the door handle button, it should get ur car in alert mode, and out of its sleep mode.
But still, all ur alarm systems will be off. etc... Manual recommends u do this if leaving ur viper for more than 3 months unattended. Saves ur battery life.
U will need to go to the manual again, and read how to reverse all this as well...
Ill post the link, JUSSSSSSSST in case u fancy reading more about this interesting topic that u brought to my attention.
https://www.dodge.com/download/pdf/manuals/2004_ZB_Viper.pdf
Hint*** Rename the .pdf file in the URL with the year of ur viper... So instead of 2004 in the LINK, type in there "2008", or "2009"... and ur manual should pop up.
Ur welcome.
And yes, its 2018, and ur question came in, God knows when. But this IS the proper way to store away ur baby for a long time.
Oh, my 2004 31,000 miles Silver viper just arrived at my port in its own container just hours ago =). Haven't got the chance to c it yet. Getting some ppl to handle final paper work and I should be cruising around in my baby within a week or 2. =) Needs a quick check up before registration, etc... Then i'll obviously change all fluids except the Power Steering... That's only if my check up shows no signs of wear on any hoses, etc...
Wish me luck.
Have a nice day.
=)