Not tax advice - There is usually a $1,000 exemption on UBTI for IRA accounts. Capital gains and losses typically do not affect your IRA. Check with your tax professional.
This.
I've done this a few times in the past with MLPs/LP units in my Roth. I just made sure the investments were small to do my best to ensure the "income" in any one year would be less than $1,000. Not hard to do when oil/gas/coal were in the dumps and that was mainly what I was buying.
As long as the collective income across all K-1s in that IRA is less than $1,000, you should be fine not filing it.
That's just from my experience - not a tax professional myself.