I now you said you do not like Squishing there heads, The spider still eats hes food, and when you throw a live jumping cricket in your spider will still kill it. The L parahybana are beast when it comes to feeding times.
If you squish the head of the cricket you give the spider a chance to eat the cricket on hes own time, just make sure you remove the cricket the next day.

I think leave feeding your spider for a day or two and try give it some food again after that, if he does not eat then leave it for a couple of days even a week. he will be fine.
I had a sling that did not eat for 3 weeks, bugged me a bit, thought he was sick, but then he started eating and molted shortly after that.

When receiving spiders I wait about 4 to 5 days before giving the new Tarantula food, giving them a chance to get use to there new environment,allowing them to spin some webbing and get comfortable.

Thanks guys. I will make some modifications.

Also it should be noted that in the wild, if food is scarce or unavailable they might scavenge for dead insects or other small animals. Otherwise try some roaches if you can get them. They won't eat the T unlike crickets. I'll never use crickets.

@Cascade: Three weeks? I have a Brachypelma albopilosum that hasn't eaten in five months. Since it's last molt. My other albo didn't eat once between his last molts. Can get quite hectic but they seem to be healthy little dudes.

Checked on it later and it crawled into the burrow I made for it and webbed a couple of strings over the entrance.does'nt seem to have a hole left open for it to get out of.

Hi mate. This definitely looks like moulting behaviour. These spiders are pretty hardy things and voracious eaters, I had one as my 1st tarantula and she got to around 9 inches and was around 13 years old when she passed away so they are a nice big long lived species. As long as you have a moist end in the enclosure then you can just leave it for a couple of days without worry and when you check next you may have a nice fresh new spider in there!

I've had my Lasiodora parahybana slings/juvies for quite some time and as everyone said they are very aggressive eaters(will take three crickets @ a time). My one sling didn't eat for three weeks and molted last night, and I'm pretty sure it will eat in a week, when I feed it again.Just give yours time to settle in and if its due for a molt give it time and everything should be fine.

As for your question about the delay time after molting before you feed again, its to allow the new exoskeleton of your L. parahybana to harden. Crickets will try to feed on your newly molted T if they have the chance, and might injure your T during feeding if its newly molted.

If you still have doubts check this out... Stan's Rant