Hey,
Since you haven't played before, it is quite hard to come up with a really good list first time, but the thing i have found with Nids recently, is even lists that don't necessarily seem to be the best on paper (pretty much Tervigon/Hive Guard spam....) actually work surprisingly well.... (although it is a shame you don't like Tervigons, as they do win games for Nids....)
Some suggestions:
Prime is definatly the
HQ you want at 1500 if your not using a Tervigon... When i have made Nid lists with him in (not played much as Nids, only used my friends army for a few games), I gave him duel boneswords and Adrenal Glands (he's going first quite often then, so doesn't really need lash whips, unless charging in with non
LS squad....)
Elite is the best slot for Nids, really it would be nice to use 6-9 Hive Guard and 6-9 Zoanthropes....
In this list, i would suggest that the zoanthropes walk behind the Guants? as an extra synapse creature, you need then to be on the bored, just the prime will not allow you to effectively deploy i don't think, Your non-synapse will be all over the place probably....
I would also suggest having either 2 squads of Hive Guard or 2 Zoanthropes (and one of the other, so 4 hive, 2 zoantropes or other way around...)
With your troops and fast, i'm tempted to say there all over the place, and not going to work, which is probably true to an extent. I don't think 2 squads of 10 Termagaunts is going to work, they won't do any damage, and won't survive to capture objectives, 10 termagaunts are only taken to allow a tervigon....
Warriors and Shrikes, i have mixed opinions of, they can perform really well, or they might die turn 1/2 without doing anything....especially the shrikes,
DS isn't really an option for a small assault unit, especially one as squishy as that... (5 2+ 3++ terminators could survive, but i don't think 3 shrikes will survive much....) Gargoyles are better for screening than termagaunts i think, and they are fast so can get in your opponents face quickly....
Not really sure about Fexes now, they used to be good, but don't really see a valid use for them...
If you change your list drastically, i would try and get a second genestealer squad (with or without broodlord, he is fairly expensive, but can do a decent job...), maybe 2 15+ Hormagaunt units, your warriors if you like them, 4/6 hive guard, 2 zooanthropes, 2 squads of gargoyles, and a trygon or two.... (they can be really really good if they make it into combat....)
Hope i helped

(You could just ignore everything i said, i'm not a Nid expert at all...)