Using helium to make home brewed beer I want to brew beer using helium instead of $\ce{CO2}$.

Most beers use about 2.5 grams of $\ce{CO2}$ per litre except stout like Guinness which uses nitrogen as it allows bubbles for much longer hence a frothy head on the stout.

So, perhaps a blend of helium and nitrogen would work? Helium is more soluble and if used in place of $\ce{CO2}$, as soon as the seal broke on a can it would escape rendering the cartoon voice idea useless.

How much helium can I squeeze into a litre of beer with or without compounding it to get the chipmunk voice?
To correct one point in the question, helium has the lowest water solubility of all gases. At one atmosphere and $\mathrm{25^oC}$, $\ce{CO2}$ is 100 times more soluble than $\ce{He}$ and $\ce{N2}$ is about twice as soluble as $\ce{He}$.  This is why deep-divers prefer helium to nitrogen.

At 45 psi, which is 3.1 atmospheres pressure, you could dissolve about 0.005 g $\ce{He}$ or roughly 30 mL when fully degassed.  A typical adult breath is around 500 mL, and of course the $\ce{He}$ will not degas instantly.  

The bottom line is that pressurizing beer with helium will not make you talk like Donald Duck.  And the biggest difference you would see between $\ce{N2}$ and $\ce{He}$ would be in your bank statement.