Star Trek has not been tested as playable game for your graphics controller. A this stage I recommend checking the list of playable games for graphics, and follow some troubleshooting steps available on the game troubleshooting guide:
And the guide here: http://www.intel.com/support/graphics/sb/cs-010486.htm
I looked into the issue you're talking about; what I found was that just like you said, players are able to play the holodeck server just fine, and the issue only exists on tribble. However, it does sound as if this is an issue specifically with the game itself, that is just effecting Intel® integrated graphics users.
Can you provide your system information please;
-What operating system are you using (also, 32 or 64 bit)?
-How much RAM do you have?
-What CPU are you using? Also, driver version?
-Is STO both free-to-play and free-to-download/register?
Humm, interesting I could have sworn that there were a couple of others who had different cards experiencing this issue. What I did discover today was that it is only the updated content that causes this problem. The older stuff even on the test server does not produce this problem. I have to play at a lower graphics quality but no driver crashes. And I tested this by playing a rather graphic intense mission, while a less intense one that is new to the game rashes the driver. Ok here is that info you asked for:
Time of this report: 11/5/2012, 17:01:26
Machine name: TIGGER
Operating System: Windows 7 Home Premium 32-bit (6.1, Build 7601) Service Pack 1 (7601.win7sp1_gdr.120830-0333)
Language: English (Regional Setting: English)
System Manufacturer: TOSHIBA
System Model: Satellite L655
BIOS: InsydeH2O Version 2.80
Processor: Intel(R) Pentium(R) CPU P6100 @ 2.00GHz (2 CPUs), ~2.0GHz Driver version: 6.1.7600.16385
Memory: 4096MB RAM
Available OS Memory: 2998MB RAM
Page File: 1412MB used, 4581MB available
Windows Dir: C:\Windows
DirectX Version: DirectX 11
DX Setup Parameters: Not found
User DPI Setting: Using System DPI
System DPI Setting: 96 DPI (100 percent)
DWM DPI Scaling: Disabled
DxDiag Version: 6.01.7601.17514 32bit Unicode
This is from a DxDiag log STO support asked for. I only posted the info you asked for.
And for you last question yes it is free to play and free to register and download. There is a credit (Zen) system in place if you feel the need to spend money on that game. Also if you do join and want a Fleet look up "Battle Group Zulu".