Bomb calorimeter enthalpies of straight chained alcohols
I searched 'combustion enthalpies of straight chain alcohols' in Google Scholar and found a couple of links to papers that look relevant, see below. Unfortunately one looks like you have to pay for it, but if you're associated with an institution they may give you free access. The other involves cyclic alcohols, obviously not straight chain but maybe helpful nonetheless.

https://link.springer.com/article/10.1007%2FBF02885455?LI=true

http://actachemscand.dk/pdf/acta_vol_16_p0046-0052.pdf

I would imagine the molar enthalpies of combustion would increase fairly linearly as chain length increases. Each extra carbon in the chain means an extra molecule of CO2 is produced, and the strong C=O bonds formed are the major contribution to the exothermicity of the reaction. Steric or torsional effects in the larger molecules may lead to a slightly smaller than expected increase per carbon.

Hope this helps.