Can I 1031 my mother’s house I just inherited for a convenience store?  

Some places you can find these are yard sales, antique stores, World Market if there’s one close to you.

While Im not currently seeking distributions (we are in series B shares - those that participate in the upside and "may" accrue), they have made distributions and we are simply building another cash reserve.

For any one person's situation, one approach may work better than another.For someone who has the cash flow, and has the equity but not the cash reserves, the HELoC can work, but is NOT the only choice.

Broadstreet Private Equity.They have several offerings including an infrastructure fund where they develop subdivisions for major national home builders in the Carolinas and Georgia.They also have started a store n lock fund in partnership with Public Storage , a cryto mining fund and I think a restaurant fund.I am primarily interested in the infrastructure and store n lock funds.Also, does anyone have any suggestions on back ground check services?

If you budget the negative cash flow over the course of the hold period and have reserves set aside to fill the gap, there is no problem (assuming your investment meets your target appreciation rates - I understand there is no guarantee there). 

We opened availability on Airbnb, and we've had a lot of short stays reservations. 

I would recommend saving at least 20% down, 12 months reserves and closing costs.

2) Maintenance Reserves: So many factors here to consider!

The property may not have any vacancies, but if it does, just make sure you have enough reserves to cover that.