How might I go about recreating this section of an orchestral score? I would like this to look as identical as possible.
I think the problem is for the second staff, with a percussion clef. You should not use a kit (the usual Dorico way to represent percussion on 5-line-staff) because the mark tree and bell tree are quite confusing. Not really pitched instrument but certainly not unpitched… So my advice would be to use them as pitched instruments, and change the clef so that Dorico shows the percussion clef. I have not done it myself, so maybe that last step can cause a problem. The solution would then be to replace an existing (pitched) clef that you would not use (like a G clef with a 8 above) and replace it in the music element editor by a percussion clef.
The portamento bit is easier, since you can hide noteheads and stems in Engrave mode. So you can use hidden notes to be the destination of those markings. Only do the whole thing once and use R to repeat those three times 
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What about having the perc labeled like that? Two staves with one singular label.
You could either combine both instruments in a one player and then add player labels. But then you may not have them as a combined Perc staff (which is presumably the main player).
I would probably just use regular ol’ staff text for labels.