my 2.5 vx220 engine has similar power with webcon throttle bodies (271 bhp), so it is possible. But not within your budget.
a standard LE5 2.4 engine would get you nearer the power you seek, up the CR to 11.5:1, fit z22se race cams, +0.5mm valves, supertech double valve springs, balancer delete and a well ported Saab B207 head
Finding a 2.4 is the hardest part, shipping from the states is expensive. But if you could find someone to remove the cylinder head it would be cheaper, the vvt is junk.