Best wine hotels outside Budapest

We will be staying in Budapest this May for at least 5 days, and I'm trying to determine if there are any kind of places somewhat nearby (as in a short car drive if we rented a car less than 2 hours?) that maybe we could visit for 2 more days, that are in the wine region near Budapest? I'm thinking something like quintas in Portugal, boutique hotels in Napa, etc. that have vineyards and also a boutique type hotels. Some place to stay outside the City and explore the wine region (and perhaps stay on a vineyard). I thought I would see if anyone has recommendations of any favorites?