My first varmint rifle was a 22-250 788 Killed a bunch of ground hogs with that gun. Bought new for around 80 bucks in late 1960s just a few years after introduced for 78.80. The one pictured looks similar to the 308 short barrel they made and also owned. Sold it to a pal in fl who had it rebarreled to 243 ai and killed a bunch pf prairie dogs with. Someone made an aftermarket trigger for it too
I don't know if you are married to the synthetic stock idea, but you might want to take a look at a Boyd's stock; might add some unwanted weight but they do make them for the 788. I've been seriously debating doing that myself.