Have 14- "5yr ARM loans" with local Bank - Can I still apply for Fannie and Freddy?

[Michael Hoover]

I have 14 single family home loans spread between 2 local banks. Each of these are 5yr ARM(amortized at 15 or 20yr). Is it possible for me to still acquire Fannie and Freddie style loans or does the 10 cap still apply to me even though I have ZERO loans through these institutions?

My loan choice may not be the smartest although, Reasons this has been the route I've taken so far.  

    -  The values on my market is generally around 100k per home and often a little less.   I have had lenders not interested in my loans due to under 120k financed amounts. 

    -  Quick and easy through local bank, avg. complete cost to close through attorney + loan fees $1400.    Local bank performed in house appraisals for free. 

I am looking for alternative lending options as Rates have always seemed a bit overpriced in comparison the numbers I find online. Last loan quoted. Dec, 2023,     8.59%  5yr arm   -  20 yr amortized        .

Any recommendations of good, cost effective, lending solutions would be helpful!       Thanks for your Time and Insight!