You should try and register as a Republican and join in the caucuses!
I can do that in Minnesota due to lack of party registration, but no chance of that occurring in Iowa unless I'm able to either somehow establish residency there in the next two months (not likely now) or obtain a fake ID and be willing to commit felony voter fraud.
To spark a Jim Gilmore resurgence, leading to the most legendary upset in political history, I think it would be worth it.
(But I've never been on-point with the whole cost-benefit analysis thing.)