The One Thing You Could Change, VOYAGER Edition...

[Oddish]

I agree. Harry's death, properly and precisely handled, could have had an emotional impact unprecedented in Trek since Spock's self sacrifice in "Wrath of Khan". But, a big part of why they didn't eliminate him from the show (even Garrett Wang's admitted that he was lucky they didn't) was because of a feature in People Magazine, suggesting that he had a fan base. So, if they still wanted to delete him (actor was a pain, character arc going nowhere, or whatever), an intermediate option between keeping him and killing him would be to remove him non-lethally. And, if they chose the Non Sequitur option, he could even turn up on Earth from time to time.

 

[at Quark's]

They should have gotten rid of him during his promotion ceremony to Lt. Jg. . Janeway pins on the rank insignia, everyone cheers, but then, after a few seconds, Harry starts to scream and we see spikes come out of the rank pin. Turns out the Borg messed with the pips....

Well, at least it would have made for a nice 'Harry has a nightmare' scene in, say, Waking Moments

 

[Oddish]

There were probably opportunities to snuff him, remove him without killing him, and promote him in all seven seasons.

 

[Farscape One]

The execs could have not bothered to keep him for a seventh season, as everyone had to have their contracts renegotiated when it got a green light for year 7.

 

[Oddish]

I actually wonder what would have happened if Tuvok had followed orders in "Resolutions", bypassing the Vidiians and essentially deleting Janeway and Chakotay from the crew. As captain, he would have had to fill some spots, and he was not as trusting of the ex-Maquis as Janeway was. So, Harry could probably have climbed the hierarchy quite a bit, green ensign or no.