Or should I invest regardless of student loans if my hope is to use FHA loan for smaller downpayment and then eventually rent the house out in a few years once I move?

Commercial mortgages are really DSCR loans.

This works with any type of appreciating property such as real estate, stocks, etcDepending on the appreciation rate, you can potentially see asset values double every 7-14 years.Likely around 7 years if the appreciation rate is 8%Likely around 14 years if the appreciation rate is 4%If you buy something for $100,000 and it appreciates to $200,000, you can potentially take a loan on the $100,000 appreciation which would not be considered a taxable event.However, be mindful that you are paying interest on the loan and you have to payback the loan but yes, it would not add on to your taxable income.

More on DSCR loans: DSCR loans won't use your income to underwrite the loan. 

what type of loan you looking for?

Would a HELOC or home equity loan on my personal home be a good idea to fund this?  

To us, its a "Bridge Loan" (lol).

VA loans are the only loans that allow this, and there is no rate penalty for it no longer being your primary home.With that in mind, you could do a cash out refinance today at a higher rate than current market rates which will create profit on the loan, we can take that profit to pay for your closing costs.

Business loans typically won't let you purchase a property if you read the fine print.

As far as financing what would be a good loan?