Yes, the spring pockets should probably be machined deeper. If I recall, the factory installed spring height is 1.6", which really limits your spring choice. (I believe the most common Chevy size is 1.8") If you dont have the capability or knowledge to conquer getting the springs correct, take it to a really competent race engine builder/machinist and have them do it. Getting springs or other hardware that cannot handle the lift you choose is a potential for complete disaster to your engine. Lightening the valve train will allow for less spring tension required for the lift (ie: lighter valves, retainers, etc). Just for reference, I had severe valve float issues on the stock cam/lift over 4500 rpm until I went to better springs. I nearly dropped a valve because of it.
Incorporating lighter valves, beehive springs, and Ti retainers can go a long way in keeping your valves stable at RPM. I havent looked into it, but I'll bet the LS stuff will fit our heads with a little work.