You can fight them, but that costs money for attorneys.

Having said that however, if it is written within the HOA convenient you're not to have rentals under 30 days -I'm not sure what legal grounds you would have to fight this, unless you've gotten a waiver or something in writing from the president maybe- but again, that should have been voted on maybe and it seems like you might not have 'documentation' to proceed with this.As far as the house sitting vacant - it seems like it might be best then to get full time renters in place and have a more stable monthly income coming in that is in conjunction with the HOA covenants. 

Now, in spite of what I said above, it may be a fight that is not worth fighting.

If you got this then it might be difficult to fight. 

Yes....and as far as I know in Texas the Assessor does not disclose how they create values...but they do have access to the MLS....so chances are you will get a jump in taxes.If you do...one way to fight the taxes is unequal assessment.....so if there are other 4plex in the area with lower values, you may be able to keep or reduce the values back to near where their tax values are.

I'd be basically homeless during that time even owning a home and have to keep fighting with the tenant until he moves out and God knows how much hassle that's gonna be given this pandemic and all that.

Now you have an angry couple fighting and disturbing the other tenants in the duplex, which may result in complaint calls to you.  

When I tried to fight the property tax assessment they told me the land was worth more than I paid for the cabins and the land. 

If you're looking for a personal residence, you're in for a fight.

If he wants to leave let him leave immediately and don’t fight him.