I like cats- heck, I like most animals- but that's ridiculous.
You can get nearly complete relief from allergies to felines with conventional treatments- a year's worth of treatment would cost less than $1000...before your insurance pays any of it (and most inscos cover allergy treatment).
Assume they cover 30%. That's $700/year. At $3950, that cat costs 5.6 years of treatments, and you still have food and veterinary bills to cover...and probably some apolstery bills as well.
And the treatements allow you to enjoy the company of ANY domestic cat you encounter, not just your allergen-free kitty.
I was faced with a similar decision years ago- I had cat allergies, among others. My shot regimen has saved my life, and allowed me to keep cats for many, many years.