Well, different people use different tactics.
I think that trick with tatical bomber isn't very useful because you spend a lot of turns for surrounding the unit instead of "running over" them. And a player can get in short of turns very quickly.
I have this tactics: I kill (damage) the enemy artillery with tac bomber (and soften air defense if it is there), then soften the units with my artillery and finish them with tanks or infantry (in cityes).
I put my prestige to upgrade the units instead of having lots of week ones. This way I can finish the campaign without loosing a core unit (with save/load of course).
I did't know until now what supression is
Maby that will help me with PG2 I'm playing now.