I was wondering... can I create raw tx by handmade manually and use unsynced clams client to sign it?
I believe so.
what I mean by handmade is by using 'createrawtransaction' and supplying parameter based on data I get from explorer
would the wallet qt accepts and create the hex even if the inputs are not seen locally in my wallet?
Yes. You can supply information about unknown transactions in the 2nd argument to 'signrawtransaction'.
and then use just-dice pushtx to broadcast it to the network? or can I broadcast it myself with my unsynced wallet?
I tried doing this earlier today with the dogecoin client. Someone had converted their Just-Dice CLAM deposit address to a DOGE address and sent some DOGE there, thinking for some reason that the site would convert it to CLAMs. What happened was nothing, and the DOGE just sat there. He made a ticket asking for them back, and I was able to create and sign a raw transaction in my out-of-date DOGE client using just information from a DOGE block explorer (and, of course, the private key). When I tried to broadcast the transaction using my unsynced DOGE client it told me:
error: {"code":-25,"message":"Missing inputs"}
so I had to use an online transaction broadcasting site - and that worked.
So I would guess that using your unsynced CLAM client also won't work for broadcasting the tx, but using the just-dice pushtx page will work.
next step... I might even try to create/fork coinb.in for clams if it is possible

thanks in advance for your answers

Here's how I did the DOGE thing:
1. on the Just-Dice hot wallet, I extracted the private key of the user's CLAM deposit address:
p=$(clamd dumpprivkey $depost_address)
2. on my laptop I used a script to convert the CLAM private key to a DOGE private key. You won't need to do this, since the CLAM client accepts BTC private keys natively I think:
d=$(~/Source/Python/clampriv.py $p | grep DOGE | awk '{print $2}')
3. Create and sign a raw transaction:
dogecoind signrawtransaction $(dogecoind createrawtransaction '[{"txid":"b9e37a2fd9403fe4c893fd414757dcf5d85d9a22066895d5931ea13b2b774ca2","vout":1}]' '{"XXX":554.77419355}') '[{"txid":"b9e37a2fd9403fe4c893fd414757dcf5d85d9a22066895d5931ea13b2b774ca2","vout":1,"scriptPubKey":"76a91459646c4f28260793d958b9c46c5cb78aa9a4616388ac"}]' '["'$d'"]'