Alex, if you have a chance, and they are available, I would buy some softer recent vintages. Barbareco can be earlier maturing and while there is a bell curve of structured vineyards in both Barolo and Barbaresco that is wide, I would tend to agree that on average Barbaresco matures earlier.
Most recent 15 vintages: I put in bold years that are worth picking through in italic and bolded ones that I think I would best serve your search. Please understand these are generalizations, and you can find both gems and garbage from any of these years picking individual wines. These are not the best vintages, but what I think would serve your needs best. Of those I chose for you, only '08 is among my qualitatively favorite 5 vintages in the last 20 years.
2004: Classic firm vintage. Many still closed for my taste, but if you can find them will be good mid to long term goodness soon.
2005: Some forward very good wines made. A pretty overlooked vintage with often very enjoyable wines.Caveat about more modern leaning producers and the warm vintage
2006: Classic, somewhat stern wines that are years away from revealing greatness at last for my preference of drinking window. If you want to cellar mid term, these have a decade head start and could along with '04 be a good option.
2007: Warm and the fruit turns toward plum and most wines lack lift. Some good wines were for sure made, but not very exciting. For sure most are ready to drink, but lack what I desire in nebbiolo (unfortunate as it is my wedding year).
2008: A beautifully perfumed vintage with classic but less firm character than 04, 06,10,13,16. I think this could be a very good option. Some are still closed, but will mature sooner than the other classically proportioned vintages. I love 08 as a vintage.
2009: My least favorite vintage in the last 20 years except 2003. I would avoid. There are some very good wines, but not representative to what I would want to drink in nebbiolo. Many come across as warm and muddled.
2010: a classic structured year- wonderful but likely not what you are looking for. The best wines will take quite some time to come around
2011 A ripe year, but I think that producers really started hitting strides dealing with climate change and better wines resulted. Many producers made delicious wines. Wines from cooler sites can be especially good. Historically great vineyards (parts of Cannubi for example) or wines that tend toward fuller bodied can come across fat.
2012- I know some really like this vintage, and I wish I did as it is my son’s birth year. There are some very good wines that would fit your needs, but many wines seem to have a hole in the midpalate and discrepancy between fruit vs pip maturity. There are many good ones, but I have concern for this vintage. Many disagree with me, and I hope they are right, but this is how I feel about '12
2013- I love the vintage but probably not what you need as many have or are shutting down.
2014 caveat emptor. Very irregular. The highs are high, but the average wines are not selling for a reason. Notably great wines are unfortunately the already expensive producers- Exception being Barbaresco which you could do well seeking out.
2015: This vintage turned out better than I had feared based on early in botti tastings. Some hot vineyards are flabby but there is a lot to like and many wines could fit your desire. I also think this may not be a vintage that shuts down hard, but I’ve been wrong so many times of over the last decade plus of following wines through elevage to drinking that I doubt myself
2016: A classic vintage that likely does not fit your need. Some breathtaking wines.
2017: Sadly the first vintage since all the above that I have not been able to taste in botti or bottle, so no opinion.
Also buying really well made base Barolo can help you. Three producers off the top of my head I would strongly consider buying their base:
Post 2014 Oddero
I would exercise caution choosing modern producers from warmer years and also toward the earlier years of this list when many were pretty heavy handed in the cellar, at least more so than now. I don’t want to derail this conversation into that direction, so I will end my opinion there.
I hope this helps you some, and feel free to PM me if you have any other questions about producers, etc.