If your fund is big, I don't see how you can not afford to spend money for purchasing a second hardware wallet that is used only for altcoin storage.
Hardware wallets are so cheap nowadays that I don't think anyone could have issues buying 2nd one, but its simply pain in the ass to have to deal with that one as well. At least it is for me (maybe I am just lazy).
This is the fact no one having hardware wallets in this regard is not enough. If I'm going to be serious in holding altcoins a separate hardware wallet might be my best take at the moment because I still haven't seen trusted altcoin wallets for me, looking at reviews maybe except unstoppable wallets improves or there is a better open source wallets for it, it will be difficult to stick with wallets like Metamask and the likes...