Is there any chance of getting a short term mortgage these days, with interest rates being relatively low would banks deem the mortgage not profitable enough?
I would be looking to get a mortgage over 7-10 years of 150k with around 25% of the house value in cash.
Some years ago I took out a 20 year mortgage and with accelerated payments paid it back early. Why not do something similar? Ask for a standard 20 year term and then overpay. You might need to check that bank allows early redemption without penalty. I was with AIB but it is some time ago.
You really need to shop around and ask lenders if you qualify for and they are willing to advance the loan in question. No easy answer as it really depends on your specific personal circumstances.