I think the leagues could be good. I know my cards have been gathering digital dust for a year, just because having two kids under 2, makes an online tourney a tough go. However a match here and there is super feasible.
What are the particulars of the leagues? How do they work?
If you can, try building a Legacy deck and playing a league to try it out. Basically they run for months, stop during downtime, then a new one starts. So you have lots and lots of time to finish league matches. They cost eight tickets or eighty play points and there are prizes depending on how you finish. Many people play all five matches in a row and do that over and over again, but people like me with the ol' wife, kid, job, etc, we seem to play them more slowly. They're a ton of fun, and I have wanted to play one with a Vintage deck for a long time.
You know, if people all logged on during the usual Daily Event times then the league match waiting period would probably shrink for that time period. Just saying... I bet that you could even message a buddy and stand a decent chance of being paired together, but I am only guessing.
Also I'd like to note that after Play Points but before leagues the Legacy Dailies were having trouble firing. Then they made leagues and the a ton of people signed up. If you have two months to finish a league it's easy to stay signed up for one at all times.