woah! if you're seeing pressure signs, "stepping upthe load a little" isn't the first thing you want to do.
1. make sure your gun works with factory ammo ok
2. make sure your necks aren't too long and your bullet is seated to proper depth
3. get yourself a chronograph and verify
4. swap primers/powder/cases/etc
Taliv has some good points.
FIRST THING I WOULD CHECK is CASE length. Try trimming to MINIMUM length. THEN at the same time, make sure your bullet OAL isn't pushing the bullet into the rifling. It isn't likely, but I don't know if you're loading for a bolt action only, or AR15.
Try MILITARY primers. CCI makes these, I use them for loading .308 for my military guns. The harder brass keeps the round from going off when the bolt slams home on the round and the firing pin keeps going until stopped by the primer cup. The harder primers also stay in the primer pocket better as mil spec ammo is MUCH hotter (higher pressure) than commercial.
Get a vernier caliper. Mike the firing pin. Mike the ID of the firing pin hole. If you can't get your caliper in, use a sharpie to mark up the firing pin and insert it into the bolt face and twist slightly; this will make a small mark on the firing pin you can then get an OD on. You'll probably find there is a few thousandths difference with prevents binding but also allows some primer flow.
I use a chrony and flattening of the primer to guesstimate pressures then back off the hot load by a grain (sometimes more) and chrony again. then tweak the load. I trust this method as I've done it for decades, and have a lot of support for it from high-power shooters who've been collectively handloading longer than I've been on the planet. Proof loads pressure are a HELL of a lot higher than standard loads, and while it's not wise to go much over SAAMI standards, you're not likely to if you stay within published loads.
Keep in mind ALL the load books are conservative loads; there's just too damned much liability in recommending loads that just MIGHT blow up someone's gun if their scale, loading technique, OAL or other factors come into play.
Have fun. Let us know how it turns out.
-Norm