Kehut, you may know this already but LS stands for, in "ARC speak" line stage(may be too obvious). The SP line has a phono stage built in. Their are many ways to go within the framework you have.
Par3n1's suggestion is a good one, not sure about the Helikon's low output into the 9 though. I have more experience with the 9 using med.to high output MC's. I used to own an SP8 which many like better than the 9 and can be had for the budget you are working with. An 8 may need some of the power supply caps repalced by now and from my experience are not as reliable as the 9. An SP9 Mk I or II has a lot of potential and to me sound good in stock form too. With a few small upgrades, like an IEC for a new power cord and some new caps they can really sing. I installed an IEC and InfiniCaps in mine. I love the sound. You could use the new AuriCaps, DynamiCaps, or the Cardis Golden Ratio Hybrid caps(Great Northers Sound uses these I understand).
The LS7 is a great buy, and sound VERY nice too. Combined with a phono stage of your choosing could work real well. Their have been some ARC PH(phono only)units going for decent prices here on the Gon. You may be able to get into a LS7/PH1 combo not far over the grand figure? You will need to still check if the PH1 has the gain you need for the Helikon.