Kucherov and Hedman got like 7 years of elite hockey left in them. Point and Vasi closer to 10 years. It's not as if we're in need to have all those 1st round picks in the near future. We just need to keep adding depth to our core (which we've done for years), which is something we have done and can easily do with later draft picks.
It's also worth remembering that, in general, 1st round draft picks really haven't been a speciality for this team in recent years, which seems weird given some of the later round and undrafted hits this regime has, but so it goes. On top of that, I remember looking up 31st overall draft selections between 2003-'16 (on the hopeful basis we'd win the Cup, but I'd also wager the differences are not hugely different between, say, 28th-32nd overall picks in this time frame, either) a few months ago, and while there hasn't been a bad hit rate when it comes to goalies - three goalies were taken with that draft pick and two of them are Markstrom and Koskinen - the forward and defenseman hit rate is absolutely brutal. I don't know where that post is anymore, but I believe the key stats were that, of the 11 F's and D's taken 31st overall, their career averages were something like 68 games played, 8 goals, 7 assists. And, I mean, those are for their entire NHL careers, not just average GP/G/A per season.
So, twisted as it may sound, as long as you're playing deep into the playoffs and ending up with end-of-the-round draft picks, you're probably better off using them as trade bait, because the odds of getting anything from them is very low. I feel like the only names anyone would recognize in that time frame are Markstrom, Koskinen, Brendan Lemieux, and Toby Reider*. That's pretty much it, from what I remember.
*EDIT: Sorry, not Toby Reider, it was Tyler Pitlick I was thinking of. Check this out:
NHL Players selected at the 31st draft position at hockeydb.com. I do suppose 32nd overalls are doing a bit better, with Bolland, Voynov, and Christian Fischer, but even that's only three successful picks out of 14.