Going Strless is probably worth it if you can afford to buy an egged HTP and a Zak/Scar/Targa helm. Those two items alone, without a potential on the helmet, will net you about 35 ~ 40 Str. The only real boosts will come from later equips.
Before they nerfed PvP's Battle Point system I would have recommended getting the complete set of battle items (Ring, Pendant, Belt and Shoulder Pad) as the boosts they provide are amazing. This does remove the HTP however I think it almost adds the same amount after each item and their boosts.
Getting Evolving rings 1 and 2 will be another way to boost your Str by a fair chunk. Having a good set of earings and capes with +Str will boost up too, though finding them could take a while. Merging the items together increases the possibility you'll find Potential in the items, so don't throw them away or NPC them. Try aiming to keep with the Cygnus boost set as long as you can too. The extra attack and stat boosts will help reach a high amount of Str.