Is chasing higher ranked hands ever justified?

[HobbyHorse]

Here was the situation that prompted the thought:
$3/6 Limit Hold'em at B&M casino (Canterbury)

Me - button (A [img]/images/graemlins/spade.gif[/img]A [img]/images/graemlins/club.gif[/img])

I of course raise and the SB and middle player both call.
Flop comes A [img]/images/graemlins/diamond.gif[/img] and two random cards for a rainbow flop.

The two other players check to me. With my trip Aces, I bet and the two players again call.

Turn card is Jack [img]/images/graemlins/diamond.gif[/img]. Both players check to me and I figure something is up here and they are chasing and all I can do is bet my $6. They both call me again.

River card is another diamond. First player checks, second one bets, I call, first player raises, second player reraises, and I fold because it's obvious that one of them has made the flush.

Question: is it just the nature of limit hold'em that this will happen where my hand is leading throughout and it is impossible to chase anyone else out of the pot by betting since it is essentially only one small bets that they are able to manage by simply check/calling?

2) Doesn't limit hold'em encourage this kind of chasing - and by encourage, i.e., is more profitable, because your opponent can't really bet in a way that messes up the odds for the other players? For this reason, shouldn't suited and/or connected cards be valued more highly in limit hold'em - perhaps even more so than pocket pairs?

If this issue has already been discussed and people are sick of it, sorry - and could you just redirect me to that earlier thread discussing this.

Thanks from a newbie. [img]/images/graemlins/wink.gif[/img]