No, do not get Invade Calibur at this point in time; it's not worth it even to get it so you can later upgrade it to Austere.
Here is your best option since you said you're not honestly very serious about maining Hu but just want to level it up to 75:
Get a 7* Red Sword (赤のソード), unlock it's potential to level 1 with Photon Boosters (or simply buy one with potential 1 already unlocked from the Player Shop, your choice). You can get Photon Boosters from Xie, the chick in the Shopping Area from trading 30 Weapon Badges (How do you get weapon badges? By running Limited Quest or The Valentine EQ, etc.). Then, you find a crafter on your ship to craft (or extend your weapon, whatever you want to call it) your Red Sword for you so the potential on it actually works. Or if you're on Ship 2 just go some place like pso2 reddit, or may be here on psow and request that someone do it for you; you will need crafting materials however, but they're cheap.
Then to level up, spam VH Urban/City Advanced Quest either by yourself or with friends, or spam the LQ if people still run it.
This is the best option since it means you don't have to heavily invest in anything, so you save $$$ and resources.
Edit:
And then for the class that you actually want to play, do Collection Files for Astra when you hit XH content.
Also, Sword is more universal and better than Wired Lance so use that. Plus, since you're only leveling up Hu, don't invest in too much stuff.
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